Multiplying Terms
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Menu…
• Multiplying terms with different letters
• Powers and multiplying
• Mixed signs

3x ! 2 y

3x ! 2 y
3x ! 2 y = 3 ! 2 ! x ! y

3x ! 2 y
3x ! 2 y = 3 ! 2 ! x ! y
= 6 xy

3x ! 2 y
3x ! 2 y = 3 ! 2 ! x ! y
= 6 xy
Multiply the numbers, and then multiply
the letters

Powers - recall

Powers - recall
2
x! x = x

Powers - recall
2
x! x = x
3 4
x !x = x

Powers - recall
2
x! x = x
3 4
x !x = x
3 5 8
x !x = x

Powers - recall
2
x! x = x
3 4
x !x = x
3 5 8
x !x = x
2 3
p"q "r" p =

Powers - recall
2
x! x = x
3 4
x !x = x
3 5 8
x !x = x
2 3 4 2
p!q !r! p = p q r

Numbers and letters
3x " 2y " 5x

Numbers and letters
3x " 2y " 5x
= 3"2 "5 " x " x " y

Numbers and letters
3x " 2y " 5x
= 3"2 "5 " x " x " y
2
= 30 " x " y

Numbers and letters
3x " 2y " 5x
= 3"2 "5 " x " x " y
2
= 30 " x " y
2
= 30x y

Terms of mixed sign

Terms of mixed sign
"4 p # 2y # "5q

Terms of mixed sign
"4 p # 2y # "5q
= "4 # 2 # "5 # p # q # y

Terms of mixed sign
"4 p # 2y # "5q
= "4 # 2 # "5 # p # q # y
= 40 " p " q " y

Terms of mixed sign
"4 p # 2y # "5q
= "4 # 2 # "5 # p # q # y
= 40 " p " q " y
= 40 pqy

Putting it together
• Multiply the numbers
• Multiplying the same letter: find the power
• Multiplying different letters: write together
• Check the sign!

Your Turn
• Find a GCSE textbook
• Turn to the first algebra chapter
• Find an exercise on multiplying terms
• Complete the exercise
• Check your answers!
• Dividing algebraic fractions next!