Question

factorize 4x²y+8xy²
​

Answer 1

Answer:

4xy(x+2y)

Explanation:

check

4xy*x+4xy*2y

4x²y+4xy²

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Answer 2

Concept

A number is expressed as the product of any two numbers using the term "factor."

Finding factors for any mathematical object, such as an integer, polynomial, or algebraic expression, is done through the process of factorization. Finding the factors of a given algebraic expression is referred to as factorization of an algebraic expression.

Any expression that incorporates variables, constants, and have undergone algebraic operations like addition, subtraction, multiplication, division, etc. is known as an algebraic expression (or variable expression).

Given

The given expression is $4x^{2} y+8xy^{2}$.

Find

We have to factorize the expression  $4x^{2} y+8xy^{2}$.

Solution

Consider the following algebraic expression, we have

 $4x^{2} y+8xy^{2}$

Taking $4xy$ common from the above algebraic expression, we get

$4xy(x +2y)$

This is the resulting algebraic expression after factorization.

Hence,  $4xy(x +2y)$ is the required expression obtained after factorization of $4x^{2} y+8xy^{2}$.

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