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COMMON FACTORS

COMMON FACTORS. ax + ay = a(x + y). Think Distributive property backwards. Work down, and show all steps!. Problem 1. 3x + 3y. = 3(x + y). Problem 2. 5x - 25. =5(x – 5). Problem 3. ax - ay. = a(x – y). Problem 4. 2x 2 - 10x. =2x(x- 5). Problem 5. x 2 y - 3x 2.

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COMMON FACTORS

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  1. COMMON FACTORS ax + ay = a(x + y) Think Distributive property backwards Work down, and show all steps!

  2. Problem 1 3x + 3y = 3(x + y)

  3. Problem 2 5x - 25 =5(x – 5)

  4. Problem 3 ax - ay = a(x – y)

  5. Problem 4 2x2 - 10x =2x(x- 5)

  6. Problem 5 x2y - 3x2 =x2(y – 3)

  7. Problem 6 x2z + y2z2 =z(x2 + y2z)

  8. Problem 7 8x - 16y = 8(x - 2y)

  9. Problem 8 4a + 20b = 4(a + 5b)

  10. Problem 9 3x - 6y + 12 =3(x - 2y + 4)

  11. Problem 10 5 + 15n + 45m = 5(1 + 3n + 9m)

  12. Problem 11 13a2 - 169a =13a(a – 13)

  13. Problem 12 8x - 56x3 = 8x(1 - 7x2)

  14. Problem 13 14x2 + 35x4 =7x2(2 + 5x2)

  15. Problem 14 y3 - 3y2 + 17y4 = y2(y - 3 + 17y2)

  16. Problem 15 3x3 + 3x2 + 6x = 3x(x2 + x + 2)

  17. Problem 16 x3 + 3x2y + 3xy = x( x2 + 3xy + 3y)

  18. Problem 17 4a4b - 16a2b2 + 4ab4 = 4ab(a3 - 4ab + b3)

  19. Problem 18 15x2y2+ 225x3y3 + 15x4y4 =15x2y2(1 + 15xy + x2y2)

  20. Problem 19 15x3 +24x2 + 36x =3x( 5x2 + 8x + 12)

  21. Problem 20 a3y3 + a2y2 + ay = ay(a2y2 + ay +1)

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