Factor k^5+2k^4-2k^3-4k^2

Math
k5+2k4-2k3-4k2
Factor k2 out of k5+2k4-2k3-4k2.
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Factor k2 out of k5.
k2k3+2k4-2k3-4k2
Factor k2 out of 2k4.
k2k3+k2(2k2)-2k3-4k2
Factor k2 out of -2k3.
k2k3+k2(2k2)+k2(-2k)-4k2
Factor k2 out of -4k2.
k2k3+k2(2k2)+k2(-2k)+k2⋅-4
Factor k2 out of k2k3+k2(2k2).
k2(k3+2k2)+k2(-2k)+k2⋅-4
Factor k2 out of k2(k3+2k2)+k2(-2k).
k2(k3+2k2-2k)+k2⋅-4
Factor k2 out of k2(k3+2k2-2k)+k2⋅-4.
k2(k3+2k2-2k-4)
k2(k3+2k2-2k-4)
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
k2((k3+2k2)-2k-4)
Factor out the greatest common factor (GCF) from each group.
k2(k2(k+2)-2(k+2))
k2(k2(k+2)-2(k+2))
Factor.
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Factor the polynomial by factoring out the greatest common factor, k+2.
k2((k+2)(k2-2))
Remove unnecessary parentheses.
k2(k+2)(k2-2)
k2(k+2)(k2-2)
Factor k^5+2k^4-2k^3-4k^2

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