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Factoring Binomials

Factoring Binomials

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Factorize each binomial.

1.

2ab + 4c

2(b + c)

2(ab + 2c)

2ab(b + c)

2a(b + c)

2.

t³ – ts

t(t² – s)

t(s² – t)

s(t² – s)

t(t² + s)

3.

3n – 6m

3(n – 2m)

6(n – m)

2(3n – m)

3(m – 2n)

4.

5y² + y

2(5y + 1)

5(5y + 5)

y(5y + 1)

25(y + 1)

5.

qr² – r³

r²(q – r)

r²(r – q)

q²(r – rq)

r(r² – q)

6.

6t + 12uv

6(t + 2uv)

2(6t + uv)

6(ut + 2v)

6(u + 2tv)

7.

3p² – 15q

5(p² – 3q)

2(3p² – 5q)

3(p² – 5q)

3(p – q²)

8.

3a – a⁴

a(3 – a³)

a(3 – 3a³)

3(3 – a³)

a(a – 3³)

9.

16uv + 8uw

8(2u + 2w)

2u(8u + w)

u(8u + 2w)

8u(2v + w)

10.

9m³ + 18n³

9(n³ + 2m³)

2(m³ + 9n³)

9n(m³ + 2³)

9(m³ + 2n³)

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