Factor x3 + 2x2 + x completely.

Mathematics

2 answers:

Marizza181 [45]3 years ago

8 0

Answer:

${x}^{3} + 2 {x}^{2} + x$

$x(x {}^{2} + 2x + 1)$

$x(x + 1) {}(x + 1)$

$x(x + 1) {}^{2}$

stellarik [79]3 years ago

4 0

Answer:

C. x(x+1)2 on edu 2021

Step-by-step explanation:

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Using the distributive property to find the product (y−4x)(y2 4y 16) results in a polynomial of the form y3 4y2 ay−4xy2−axy−64x.

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The product (y−4x)(y^2 + 4y + 16) results in a polynomial of the form y3 4y2 ay−4xy2−axy−64x then the value of a is 16.

<h3>What is distributive property?</h3>

The distributive property states that an expression of the form A(B + C) can be solved by a multiplication over addition operation that is

A(B + C) = AB + AC

This property is known by distributive law and applies to subtraction also.

First let w = y-4x make distribution a bit easier

(y−4x)(y^2 + 4y + 16)

$w(y^2 + 4y + 16)\\wy^2 + w4y + w16\\$