Question

factorise: 3(x+2)^2-5(x+2)+2

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Given,

$3(x+2)^2-5(x+2)+2$

To find,

Factorise the given equation

Solution,

Given the equation as, let's factorise it by simplifying it.

$3(x+2)^2-5(x+2)+2$

Let's just expand $(x+2)^{2}$ as $x^{2}+2x+4$

$3(x^{2}+4x+4) - 5x - 10 + 2$

Let's expand it further,

$3x^{2}+12x+12 - 5x - 10 + 2$

$3x^{2}+7x+4$

Let's expand our middle term.

$3x^{2}+3x+4x+4$

Let's take the common values.

$3x(x+1)+2(x+1)$

$(3x+2)(x+1)$

Hence our factorised equation is (3x+2)(x+1).