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# Factoring a GCF From an Expression

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