EDGE Math 8

Factor each expression completely. Then click on your answer.

1.	$3 a^{2} b + 3 a b^{2} + 3 a b c$

3 (a^{2} b + a b^{2} + a b c)

3 a^{2} b^{2} (a + b + c)

3 a b (a + b + c)

none of the choices

Answer: $3 a b (a + b + c)$

2.	$3 x^{2} - 2 x - 8$

(3 x + 2) (x - 4)

(3 x + 4) (x - 2)

(3 x - 2) (x + 4)

none of the choices

Answer: $(3 x + 4) (x - 2)$

3.	${(a + b)}^{2} + 2 (a + b) + 1$

{(a + b + 1)}^{2}

{(a + b + 2)}^{2}

a^{2} + 2 a b + b^{2} + 1

none of the choices

Answer: ${(a + b + 1)}^{2}$

4.	$3 x^{3} + 24 y^{3}$

3 {(x + 2 y)}^{3}

3 (x + 2 y) (x^{2} - 2 x y + 4 y^{2})

3 (x + 2 y) (x^{2} + 2 x y + 4 y^{2})

none of the choices

Answer: $3 (x + 2 y) (x^{2} - 2 x y + 4 y^{2})$

5.	$5 {(y - 1)}^{2} + 2 (y - 1)$

(y - 1) (5 y - 3)

(y - 1) (5 y + 3)

(y - 1) (5 y - 7)

none of the choices

Answer: $(y - 1) (5 y - 3)$

6.	$45 x^{2} - 20 y^{2}$

5 (3 x - 2 y) (3 x + 2 y)

5 {(3 x - 2 y)}^{2}

5 {(3 x + 2 y)}^{2}

none of the choices

Answer: $5 (3 x - 2 y) (3 x + 2 y)$

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