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

Suman Cole

Suman Cole

Answered question

2020-12-05

Solve. Factor each expression.
a.x3+216

Answer & Explanation

Asma Vang

Asma Vang

Skilled2020-12-06Added 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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