Question

Factorise :
(i) 12x²-7x+1​

Answer 1

$\huge \tt \purple{Question}$

Factorise :

(i) 12x²-7x+1

$\huge \tt \purple{Answer}$

=12x²-(4+3)x+1

=12x²-4x-3x+1

Taking Common we get,

=4x(3x-1)-1(3x-1)

=(3x-1)(4x-1)

$\huge\mathcal\orange{MORE \:TO \:KNOW}$

Factorising is the reverse of expanding brackets, so it is, for example, putting 2x² + x - 3 into the form (2x + 3)(x - 1). This is an important way of solving quadratic equations. The first step of factorising an expression is to 'take out' any common factors which the terms have.

$\huge \rm \underline \red{XxDangerousQueenxX}$

Answer 2

Answer:

(3x-1)(4x-1)

Step-by-step explanation:

Question:

Factorize :  12x²-7x+1

Answer:

12x²-7x+1

Let us consider: -3x and -4x

If we add, -3x + -4x = -7x (12x²-7x+1)

If we multiply, -3x $\times$ -4x = 12x² ( 12x²-7x+1)

So, let us replace -7x as  -3x + -4x in 12x²-7x+1

Note: This method is also known as factorization method

$\implies$ 12x²-3x-4x+1

Take 3x and -1 as common

$\implies$ 3x(4x-1) -1(4x_1)

$\implies$ (3x-1)(4x-1)

Hence, your question is solved!