Solve. Factor each expression. b.5y^{3}+135

Lewis Harvey

Lewis Harvey

Answered question

2021-01-08

Solve. Factor each expression.
b.5y3+135

Answer & Explanation

Bella

Bella

Skilled2021-01-09Added 81 answers

Calculation:
Consider the polynomial as,
5y3+135
First, take 5 as common factor,
5y3+135=5(y)3+5(27)
=5(y3+33)
According to the factorized form of sum of two cubes, u3+v3=(u+v)(u2uv+v2).
5y3+135=5(y+3)[y2y(3)+32]
=5(y+3)(y23y+9)
Therefore, the factorization of the polynomial 5y3+135 is 5(y+3)(y23y+9).

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