Question

4x^2+12xy+9y^2-8x-12y factorize it​

Answer 1

Answer:

Step-by-step explanation:

4x^2  +  12xy + 9y^2 - 8x - 12y

(2x)^2 + 2(2x)(3y) + (3y)^2 - 8x - 12y              

(splitting of terms so as we get the formula of (a+b)^2              

(2x+3y)^2 - 8x - 12y

Answer 2

$\sf 4 {x}^{2} + 12xy + 9 {y}^{2} - 8x - 12y = (2x + 3y)(2x + 3y - 4)$

Given :

$\sf 4 {x}^{2} + 12xy + 9 {y}^{2} - 8x - 12y$

To find :

Factorise the expression

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

$\sf 4 {x}^{2} + 12xy + 9 {y}^{2} - 8x - 12y$

Step 2 of 2 :

Factorise the expression

We use the formula

(a + b)² = a² + 2ab + b²

Thus we get

$\sf 4 {x}^{2} + 12xy + 9 {y}^{2} - 8x - 12y$

$\sf = {(2x)}^{2} + 2.2x.3y + {(3y)}^{2} - 8x - 12y$

$\sf = {(2x + 3y)}^{2} - 8x - 12y$

$\sf = {(2x + 3y)}^{2} -4(2x + 3y)$

$\sf = (2x + 3y)(2x + 3y - 4)$

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