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Binomial Products
Binomial Products
Bi  2

nomial  terms
Binomial Products
Bi  2

nomial  terms

e.g.  x  6  x  1 
Binomial Products
Bi  2

nomial  terms

e.g.  x  6  x  1  x 2
Binomial Products
Bi  2

nomial  terms

e.g.  x  6  x  1  x 2  x
Binomial Products
Bi  2

nomial  terms

e.g.  x  6  x  1  x 2  x  6 x
Binomial Products
Bi  2

nomial  terms

e.g.  x  6  x  1  x 2  x  6 x  6

 x2  7 x  6
Binomial Products
Bi  2

nomial  terms

e.g.  x  6  x  1  x 2  x  6 x  6

 x2  7 x  6

2
 a  b   a 2  2ab  b 2
Binomial Products
Bi  2

nomial  terms

e.g.  x  6  x  1  x 2  x  6 x  6

 x2  7 x  6

 a  b   a 2  2ab  b 2
2
 a  b   a 2  2ab  b 2
2
Binomial Products
Bi  2

nomial  terms

e.g.  x  6  x  1  x 2  x  6 x  6

 x2  7 x  6

 a  b   a 2  2ab  b 2
2
 a  b   a 2  2ab  b 2
2

 a  b  a  b   a 2  b 2
e.g. (i )  x  2  
2
e.g. (i )  x  2   x 2  2  x  2   22
2
a  b

2

a2

2ab b 2

e.g. (i )  x  2   x 2  2  x  2   22
2
a  b

2

a2

2ab b 2

e.g. (i )  x  2   x 2  2  x  2   22
2

 x2  4x  4
a  b

2

a2

2ab b 2

e.g. (i )  x  2   x 2  2  x  2   22
2

 x2  4x  4
(ii )  3 x  4  
2
a  b

2

a2

2ab b 2

e.g. (i )  x  2   x 2  2  x  2   22
2

 x2  4x  4
(ii )  3 x  4   9 x 2  24 x  16
2
a  b

2

a2

2ab b 2

e.g. (i )  x  2   x 2  2  x  2   22
2

 x2  4x  4
(ii )  3 x  4   9 x 2  24 x  16
2

(iii )  2 p  5  2 p  5  
a  b

2

a2

2ab b 2

e.g. (i )  x  2   x 2  2  x  2   22
2

 x2  4x  4
(ii )  3 x  4   9 x 2  24 x  16
2

(iii )  2 p  5  2 p  5   4 p 2  25
a  b

2

a2

2ab b 2

e.g. (i )  x  2   x 2  2  x  2   22
2

 x2  4x  4
(ii )  3 x  4   9 x 2  24 x  16
2

(iii )  2 p  5  2 p  5   4 p 2  25

(iv)  a  2   a 2  3a  7  
a  b

2

a2

2ab b 2

e.g. (i )  x  2   x 2  2  x  2   22
2

 x2  4x  4
(ii )  3 x  4   9 x 2  24 x  16
2

(iii )  2 p  5  2 p  5   4 p 2  25

2 terms  3 terms
(iv)  a  2   a 2  3a  7  

 answer has 6 terms
a  b

2

a2

2ab b 2

e.g. (i )  x  2   x 2  2  x  2   22
2

 x2  4x  4
(ii )  3 x  4   9 x 2  24 x  16
2

(iii )  2 p  5  2 p  5   4 p 2  25

2 terms  3 terms

 answer has 6 terms

(iv)  a  2   a 2  3a  7   a 3 3a 2 7a 2a 2 6a 14
a  b

2

a2

2ab b 2

e.g. (i )  x  2   x 2  2  x  2   22
2

 x2  4x  4
(ii )  3 x  4   9 x 2  24 x  16
2

(iii )  2 p  5  2 p  5   4 p 2  25

2 terms  3 terms

 answer has 6 terms

(iv)  a  2   a 2  3a  7   a 3 3a 2 7a 2a 2 6a 14

 a 3  a 2  a  14
a  b

2

a2

2ab b 2

e.g. (i )  x  2   x 2  2  x  2   22
2

 x2  4x  4
(ii )  3 x  4   9 x 2  24 x  16
2

(iii )  2 p  5  2 p  5   4 p 2  25

2 terms  3 terms

 answer has 6 terms

(iv)  a  2   a 2  3a  7   a 3 3a 2 7a 2a 2 6a 14

 a 3  a 2  a  14

Exercise 1B; 1ch, 2c, 3be, 5ceg, 7ac, 8b, 9b, 10, 11ace, 13bd, 15*

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  • 2. Binomial Products Bi  2 nomial  terms
  • 3. Binomial Products Bi  2 nomial  terms e.g.  x  6  x  1 
  • 4. Binomial Products Bi  2 nomial  terms e.g.  x  6  x  1  x 2
  • 5. Binomial Products Bi  2 nomial  terms e.g.  x  6  x  1  x 2  x
  • 6. Binomial Products Bi  2 nomial  terms e.g.  x  6  x  1  x 2  x  6 x
  • 7. Binomial Products Bi  2 nomial  terms e.g.  x  6  x  1  x 2  x  6 x  6  x2  7 x  6
  • 8. Binomial Products Bi  2 nomial  terms e.g.  x  6  x  1  x 2  x  6 x  6  x2  7 x  6 2  a  b   a 2  2ab  b 2
  • 9. Binomial Products Bi  2 nomial  terms e.g.  x  6  x  1  x 2  x  6 x  6  x2  7 x  6  a  b   a 2  2ab  b 2 2  a  b   a 2  2ab  b 2 2
  • 10. Binomial Products Bi  2 nomial  terms e.g.  x  6  x  1  x 2  x  6 x  6  x2  7 x  6  a  b   a 2  2ab  b 2 2  a  b   a 2  2ab  b 2 2  a  b  a  b   a 2  b 2
  • 11. e.g. (i )  x  2   2
  • 12. e.g. (i )  x  2   x 2  2  x  2   22 2
  • 13. a  b 2 a2 2ab b 2 e.g. (i )  x  2   x 2  2  x  2   22 2
  • 14. a  b 2 a2 2ab b 2 e.g. (i )  x  2   x 2  2  x  2   22 2  x2  4x  4
  • 15. a  b 2 a2 2ab b 2 e.g. (i )  x  2   x 2  2  x  2   22 2  x2  4x  4 (ii )  3 x  4   2
  • 16. a  b 2 a2 2ab b 2 e.g. (i )  x  2   x 2  2  x  2   22 2  x2  4x  4 (ii )  3 x  4   9 x 2  24 x  16 2
  • 17. a  b 2 a2 2ab b 2 e.g. (i )  x  2   x 2  2  x  2   22 2  x2  4x  4 (ii )  3 x  4   9 x 2  24 x  16 2 (iii )  2 p  5  2 p  5  
  • 18. a  b 2 a2 2ab b 2 e.g. (i )  x  2   x 2  2  x  2   22 2  x2  4x  4 (ii )  3 x  4   9 x 2  24 x  16 2 (iii )  2 p  5  2 p  5   4 p 2  25
  • 19. a  b 2 a2 2ab b 2 e.g. (i )  x  2   x 2  2  x  2   22 2  x2  4x  4 (ii )  3 x  4   9 x 2  24 x  16 2 (iii )  2 p  5  2 p  5   4 p 2  25 (iv)  a  2   a 2  3a  7  
  • 20. a  b 2 a2 2ab b 2 e.g. (i )  x  2   x 2  2  x  2   22 2  x2  4x  4 (ii )  3 x  4   9 x 2  24 x  16 2 (iii )  2 p  5  2 p  5   4 p 2  25 2 terms  3 terms (iv)  a  2   a 2  3a  7    answer has 6 terms
  • 21. a  b 2 a2 2ab b 2 e.g. (i )  x  2   x 2  2  x  2   22 2  x2  4x  4 (ii )  3 x  4   9 x 2  24 x  16 2 (iii )  2 p  5  2 p  5   4 p 2  25 2 terms  3 terms  answer has 6 terms (iv)  a  2   a 2  3a  7   a 3 3a 2 7a 2a 2 6a 14
  • 22. a  b 2 a2 2ab b 2 e.g. (i )  x  2   x 2  2  x  2   22 2  x2  4x  4 (ii )  3 x  4   9 x 2  24 x  16 2 (iii )  2 p  5  2 p  5   4 p 2  25 2 terms  3 terms  answer has 6 terms (iv)  a  2   a 2  3a  7   a 3 3a 2 7a 2a 2 6a 14  a 3  a 2  a  14
  • 23. a  b 2 a2 2ab b 2 e.g. (i )  x  2   x 2  2  x  2   22 2  x2  4x  4 (ii )  3 x  4   9 x 2  24 x  16 2 (iii )  2 p  5  2 p  5   4 p 2  25 2 terms  3 terms  answer has 6 terms (iv)  a  2   a 2  3a  7   a 3 3a 2 7a 2a 2 6a 14  a 3  a 2  a  14 Exercise 1B; 1ch, 2c, 3be, 5ceg, 7ac, 8b, 9b, 10, 11ace, 13bd, 15*