Solve. Factor each expression. a.x^{3}+216

Suman Cole 2020-12-05 Answered
Solve. Factor each expression.
a.x3+216
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Expert Answer

Asma Vang
Answered 2020-12-06 Author has 93 answers
Calculation:
Consider the polynomial as,
x3+216
Rewrite the polynomial as,
x3+216=x3+63
According to the factorized form of the sum of two cubes, u3+v3=(u+v)(u2uv+v2).
x3+216=33+63
=(x+6)[x2x(6)+62]
=(x+6)(x26x+36)
Therefore, the factorization of the polynomial x3+216 is (x+6)(x26x+36).
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