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# Algebra 7 Point 5

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### Algebra 7 Point 5

1. 1. 7.5 Two Special Cases of Factoring<br />Objective: <br /><ul><li>To factor the difference of 2 squares
2. 2. To factor a perfect-square trinomial</li></ul>Frameworks: 10.P.5<br />
3. 3. Difference of Two Squares<br />Let a2 and b2 represent areas of two squares.<br />The orange region is the difference of the two squares<br />Look at the picture on p. 259<br />b<br />b<br />a<br />a<br />
4. 4. Difference of Two Squares<br />a2 – b2 = (a + b)(a – b)<br />
5. 5. Factor a2 – 16<br />
6. 6. Factor y2– 36<br />
7. 7. Factor x2– 81<br />
8. 8. Factor 144x2– 49y2<br />
9. 9. Factor (x - 3)2– 25y2<br />
10. 10. Write a formula for the difference of the 2 squares:<br />Then evaluate for r = 6 and t = 4.3<br />3r<br />2t<br />
11. 11. Factor 25x2 – 100y2<br />
12. 12. Factor (a + 4)2 – 64b2<br />
13. 13. Write a formula for the orange region:<br />4x<br />y<br />
14. 14. Write a formula for the orange region:<br />5a<br />3c<br />
15. 15. Perfect Square Trinomials<br />a2 + 2ab + b2 = (a + b)2<br />a2 - 2ab + b2 = (a - b)2<br />To factor a perfect square trinomial, you must first recognize its form:<br />square of the first term<br />+/- twice the product of the two terms<br />square of the second term<br />
16. 16. Is 4x2 – 12x + 9 a perfect square trinomial?<br />
17. 17. Is 9x2+ 42x + 49 a perfect square trinomial?<br />
18. 18. Do p. 261 1-15<br />