Factor completely. $$ 3 y^{4}+3 y^{3}-9 y^{2}-9 y $$

Question

UpStudy AI · Accepted Answer

Factor the expression $$ 3y^4+3y^3-9y^2-9y $$.
Factor the expression by following steps:
- step0: Factor:
  $$3y^{4}+3y^{3}-9y^{2}-9y$$
- step1: Evaluate:
  $$3y^{4}-9y^{2}+3y^{3}-9y$$
- step2: Rewrite the expression:
  $$3y	imes y^{3}-3y	imes 3y+3y	imes y^{2}-3y	imes 3$$
- step3: Factor the expression:
  $$3y\left(y^{3}-3y+y^{2}-3ight)$$
- step4: Factor the expression:
  $$3y\left(y+1ight)\left(y^{2}-3ight)$$
The factored form of the expression $$3y^{4}+3y^{3}-9y^{2}-9y$$ is $$3y(y+1)(y^{2}-3)$$.
The expression factors to $$3y(y+1)(y^{2}-3)$$.

Factor completely.

Solución de inteligencia artificial de Upstudy

Responder

Solución

Beyond the Answer

preguntas relacionadas

Latest Algebra Questions