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Factoring a GCF From an Expression

Answers

This page shows the final answer to each problem.  You may return to the Worksheet Page to quiz yourself or have your answers checked automatically.  If you would like assistance with a particular problem, click the " step-by-step" link for an in depth solution.

1
x3 + x2 + x
Answer
x(x2 + x + 1)
step-by-step
2
15a + 12b + 6c
Answer
3(5a + 4b + 2c)
step-by-step
3
8x2 + -18y2
Answer
2(4x2 + -9y2)
step-by-step
4
x2y + 2y
Answer
y(x2 + 2)
step-by-step
5
z3 + 4z2
Answer
z2(z + 4)
step-by-step
6
4x2 + -4x
Answer
4x(x + -1)
step-by-step
7
15x2 + -50x + -10
Answer
5(3x2 + -10x + -2)
step-by-step
8
121a + -11b
Answer
11(11a + -1b)
step-by-step
9
64c3 + -56c2 + 88c
Answer
8c(8c2 + -7c + 11)
step-by-step
10
10 + -10n + 10n2
Answer
10(1 + -1n + n2)
step-by-step
11
18k + 36k2 + 9k3
Answer
9k(2 + 4k + k2)
step-by-step
12
33q3 + 33q2r + 33qr2
Answer
33q(q2 + qr + r2)
step-by-step
13
18kxy + 4xy + 2k2xy
Answer
2xy(9k + 2 + k2)
step-by-step
14
a3b2 + a3b4 + ab4
Answer
ab2(a2 + a2b2 + b2)
step-by-step
15
7m + 7n + 7o
Answer
7(m + n + o)
step-by-step
16
6q + 10q2 + 8q3
Answer
2q(3 + 5q + 4q2)
step-by-step
17
c3 + -5c
Answer
c(c2 + -5)
step-by-step
18
k4 + 2k3 + 3k2 + 4k
Answer
k(k3 + 2k2 + 3k + 4)
step-by-step
19
14dj + 14ej
Answer
14j(d + e)
step-by-step
20
m3n2 + -1m2n3
Answer
m2n2(m + -1n)
step-by-step
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