EDGE Math 8

Factor each expression completely. Then click on your answer.

1.	$14 a^{2} - 42 a b$

7 a (2 a - 6 b)

14 a (1 - 3 b)

14 a (a - 3 b)

none of the choices

Answer: $14 a (a - 3 b)$

2.	$8 w^{3} + 125$

(2 w + 5) (4 w^{2} - 10 w + 25)

(2 w + 5) (4 w^{2} + 10 w + 25)

{(2 w + 5)}^{3}

none of the choices

Answer: $(2 w + 5) (4 w^{2} - 10 w + 25)$

3.	$x^{2} - 10 x y + 25 y^{2}$

(x - 5 y) (x + 5 y)

{(x + 5 y)}^{2}

{(x - 5 y)}^{2}

none of the choices

Answer: ${(x - 5 y)}^{2}$

4.	$12 z^{2} - 13 z + 3$

(4 z - 3) (3 z - 1)

(6 z - 1) (2 z - 3)

(12 z - 1) (z - 3)

none of the choices

Answer: $(4 z - 3) (3 z - 1)$

5.	$x^{4} - {(5 x - 6)}^{2}$

(x - 2) (x + 3) (x - 1) (x + 6)

(x - 2) (x - 3) (x - 1) (x + 6)

(x + 2) (x - 3) (x + 1) (x - 6)

none of the choices

Answer: $(x - 2) (x - 3) (x - 1) (x + 6)$

6.	$x^{3} - y^{3} - x^{2} + y^{2}$

(x + y) (x^{2} - x y + x - y + y^{2})

(x - y) (x^{2} + x y - x - y + y^{2})

(x - y) (x^{2} + x y - x + y - y^{2})

none of the choices

Answer: $(x - y) (x^{2} + x y - x - y + y^{2})$

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