Free Printable Factoring with Formulas

Free Printable Worksheets

Worksheets

Factoring with Formulas

Total questions: 10

Worksheet time: 3hrs 30mins

Name

Class

Date

1.

$a^2-b^2=$
Which is the right formula?

a)

Not factorable

b)

$\left(a-b\right)\left(a+b\right)$

c)

$\left(a-b\right)\left(a^2+ab+b^2\right)$

d)

$\left(a+b\right)\left(a^2-ab+b^2\right)$

2.

$a^3-b^3=$
Which is the right formula?

a)

Not factorable

b)

$\left(a-b\right)\left(a+b\right)$

c)

$\left(a-b\right)\left(a^2+ab+b^2\right)$

d)

$\left(a+b\right)\left(a^2-ab+b^2\right)$

3.

$a^3+b^3=$
Which is the right formula?

a)

Not factorable

b)

$\left(a-b\right)\left(a+b\right)$

c)

$\left(a-b\right)\left(a^2+ab+b^2\right)$

d)

$\left(a+b\right)\left(a^2-ab+b^2\right)$

4.

$a^2+b^2=$
Which is the right formula?

a)

Not factorable

b)

$\left(a-b\right)\left(a+b\right)$

c)

$\left(a-b\right)\left(a^2+ab+b^2\right)$

d)

$\left(a+b\right)\left(a^2-ab+b^2\right)$

5.

$25x^2-y^2$
Factor Completely

a)

$\left(5x-y\right)^2$

b)

$\left(5x+y\right)^2$

c)

$\left(5x-y\right)\left(5x+y\right)$

d)

Not Factorable

6.

$9-100m^2$
Factor Completely

a)

$\left(3-10m\right)\left(3+10m\right)$

b)

$\left(3-10m\right)\left(9+20m+100m^2\right)$

c)

$\left(3+10m\right)\left(9-30m+100m^2\right)$

d)

$\left(3-10m\right)^2$

7.

$8-125c^3$
Factor Completely

a)

$\left(2+5c\right)\left(4-10c+5c^2\right)$

b)

$\left(2+5c\right)\left(4-10c+25c^2\right)$

c)

$\left(2-5c\right)\left(4-10c+5c^2\right)$

d)

$\left(2-5c\right)\left(4+10c+25c^2\right)$

8.

$1000y^3-1$
Factor Completely

a)

$\left(10y-1\right)\left(100y^2+10y+1\right)$

b)

$\left(10y+1\right)\left(100y^2+10y+1\right)$

c)

$\left(10y-1\right)\left(100y^2-10y+1\right)$

d)

$\left(10y-1\right)\left(10y+1\right)$

9.

$27d^3+216e^3$
Factor Completely

a)

$\left(3d-6e\right)\left(9d^2-18de+36e^2\right)$

b)

$\left(3d+6e\right)\left(9d^2-18de+36e^2\right)$

c)

$\left(3d+6e\right)\left(9d^2+18de+36e^2\right)$

d)

$\left(3d+6e\right)\left(9d^2-18de-36e^2\right)$

10.

$8+64x^3$
Factor Completely

a)

$8\left(1+8x^3\right)$

b)

$8\left(1-2x\right)\left(1+2x+4x^2\right)$

c)

$8\left(1+2x\right)\left(1-2x+4x^2\right)$

d)

$\left(2+4x\right)\left(4-8x+16x^2\right)$

100 %

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