Question

factorise (3-x)^2-36x^2​

Answer 1

Answer:

Your question is (3-x)²-36x²

Now come to answer

9+x²-6x-36x²

-35x²-6x+9

-35x²-21x+15x+9

-7x(5x-3)+3(5x+3)

(3-7x)(5x-3)

Ah! It's over.

Answer 2

Factorised form = (5x + 3)(3 - 7x)

GIVEN:- $( {3 - x})^{2} - 36 {x}^{2}$

To Find: Factorised form

SOLUTION:-

We'll apply algebraic formula of

$( {a - b)}^{2} = {a}^{2} - 2ab + {b}^{2}$

where a = 3 and b = x

By putting the values in the formula

$= {3}^{2} - (2 \times 3 \times x) + {x}^{2} - 36 {x}^{2}$

$= 9 - 6x - 35 {x}^{2}$

By arranging it

$= - 35 {x}^{2} - 6x + 9$

By breaking the middle value by taking LCM of 35 and 9

$= - 35 {x}^{2} - 21x + 15x + 9$

$= - 7x(5x + 3) + 3(5x + 3)$

$= (5x + 3)(3 - 7x)$

Hence, Factorised form = (5x + 3)(3 - 7x)

#SPJ2