Question

(18x^3+48x^2+32x)/(3x+4) fctorize

Answer 1

Step-by-step explanation:

1. (18x^3+48x^2+32x)+(3x+4)
2. simplify
3. solving for variable x
4. factor out the greatest common factor
5. 2x(9x^2+24x+16)
6. factor for a trinomial
7. 2x((3x+4)(3x+4))=0

Answer 2

Concept introduction:

In mathematics, factorization or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind. For example, $3 * 5$ is a factorization of the integer $15$.

Given:

Here the given expression is $(18x^3+48x^2+32x)/(3x+4)$.

To find:

We have to factorize the expression.

Solution:

According to the question,

$(18x^3+48x^2+32x)/(3x+4)=0$

$=2x(9x^2+24x+16)/(3x+4)=0$

$=2x[(3x)^2+2*3x*4+(4)^2]/(3x+4)=0$

$=2x(3x+4)=0\\2x=0\\x=0$or, $3x+4=0\\x=-\frac{4}{3}$

Final answer:

The final answer of the question is $0$ or $-\frac{4}{3}$.

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