Factor s^5-14s^4+49s^3

Math
s5-14s4+49s3
Factor s3 out of s5-14s4+49s3.
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Factor s3 out of s5.
s3s2-14s4+49s3
Factor s3 out of -14s4.
s3s2+s3(-14s)+49s3
Factor s3 out of 49s3.
s3s2+s3(-14s)+s3⋅49
Factor s3 out of s3s2+s3(-14s).
s3(s2-14s)+s3⋅49
Factor s3 out of s3(s2-14s)+s3⋅49.
s3(s2-14s+49)
s3(s2-14s+49)
Factor using the perfect square rule.
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Rewrite 49 as 72.
s3(s2-14s+72)
Check that the middle term is two times the product of the numbers being squared in the first term and third term.
14s=2⋅s⋅7
Rewrite the polynomial.
s3(s2-2⋅s⋅7+72)
Factor using the perfect square trinomial rule a2-2ab+b2=(a-b)2, where a=s and b=7.
s3(s-7)2
s3(s-7)2
Factor s^5-14s^4+49s^3

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