Lewis Harvey

2021-01-08

Solve. Factor each expression.

b.$5{y}^{3}+135$

b.

Bella

Skilled2021-01-09Added 81 answers

Calculation:

Consider the polynomial as,

$5{y}^{3}+135$

First, take 5 as common factor,

$5{y}^{3}+135=5(y{)}^{3}+5(27)$

$=5({y}^{3}+{3}^{3})$

According to the factorized form of sum of two cubes,${u}^{3}+{v}^{3}=(u+v)({u}^{2}\u2014uv+{v}^{2})$ .

$5{y}^{3}+135=5(y+3)[{y}^{2}-y(3)+{3}^{2}]$

$=5(y+3)({y}^{2}\u20143y+9)$

Therefore, the factorization of the polynomial$5{y}^{3}+135$ is $5(y+3)({y}^{2}\u20143y+9)$ .

Consider the polynomial as,

First, take 5 as common factor,

According to the factorized form of sum of two cubes,

Therefore, the factorization of the polynomial

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