Math, asked by adalixyz, 1 year ago

(3-x)^2-36x^2 factorise it

Answers

Answered by yatharthmishra984
1
( 3-x)²-36x²
as we know that ...
(a-b)²=a²-2ab+b²

therefore,9-6x+x²-36x²

9-6x-35x²

Now it becomes a quadratic equation.
35x²-6x-9=0
now we can factories it .

adalixyz: write it in equation format
Answered by siddhartharao77
6

Given Equation is (3 - x)^2 - 36x^2

⇒ 9 + x^2 - 6x - 36x^2

⇒ -35x^2 - 6x + 9

⇒ -(35x^2 + 6x - 9)

⇒ -(35x^2 - 15x + 21x - 9)

⇒ -(5x(7x - 3) + 3(7x - 3))

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


Hope it helps!


adalixyz: thank you very much
siddhartharao77: Welcome..
adalixyz: it's 35 or 36
siddhartharao77: which step
adalixyz: 2nd step onwards
siddhartharao77: x^2 - 36x^2 = > 1 - 36 = -35.. Therefore, it is -35x^2
adalixyz: ok
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