Question

factorise 4x^2 + 8xy​

Answer 1

Answer:

The factorized form of the expression is 4x( x + 2y)

Step-by-step explanation:

Here we have been given to find the factorized form of the given expression as below;

$4x^{2} + 8xy$

For this, we will first try to separate out the common terms from these two and then factorize them. The expanded form of the two terms is as below:

$4x^{2}$ = 4 × x × x

8xy = 2× 4 × x × y

Hence we can see that 4x is common in both, therefore:

$4x^{2} + 8xy$

= 4x( x + 2y)

Hence the factorized form of the expression is 4x( x + 2y)

Answer 2

Given:

$4x^{2} +8xy$

To Find: Factorization of $4x^{2} +8xy$

Calculation:

• Factorization of any expression is to write or express it in the form of multiplication of two factors.
• These factors could be expressions, variables or constants.

$4x^{2} +8xy$

$=4x(x+2y)\\=(4x)*(x+2y)$

The two factors for the given expression are 4x and (x+2y).

Answer:

Factorize form of $4x^{2} +8xy$ $=(4x)(x+2y)$