Easy Algebra Step-by-Step

138 Easy Algebra Step-by-Step

Exercise 12

In 1–5, indicate whether the statement is true or false.

1. 64 += 2525 13


2. (x + 3)^2 = x^2 + 9

3.

4 +xy=+ 44

x

y

4.

1

5

1

5

1

+

=+

zz 5

5.

1

23

2223

3

(^223)
3
= 2
For 6–8, factor using a negative coeffi cient for the GCF.

6. −a −b


7. − 3 x^2 + 6 x − 9
   8. 3 − x

For 9–24, factor completely.

9. 24x^9 y^2 − 6 x^6 y^7 z^4


10. −+ 45 x^25


11. a^3 b − ab + b


12. 14x + 7 y


13. x(2x − 1) + 3(2x − 1)


14. y(a + b) + (a + b)


15. x(x − 3) + 2(3 − x)


16. cx + cy + ax + ay
    17. x^2 − 3 x − 4
    18. x^2 − 49
    19. 6x^2 + x − 15
    20. 16x^2 − 25 y^2
    21. 27x^3 − 64
    22. 8a^3 + 125 b^3
    23. 2x^4 y^2 z^3 − 32 x^2 y^2 z^3
    24. a^2 (a + b) −2ab(a + b) + b^2 (a + b)