Question

factorize :- (3x-y)² - 2(3x-y)-35

Answer 1

Factorize :- (3x-y)² - 2(3x-y)-35 is in pic

Answer 2

The factored form of the given expression is (3x-y-7)(3x-y+5).

Step-by-step explanation:

The given expression is

$(3x-y)^2-2(3x-y)-35$

We need factorize the given expression.

Substitute (3x-y)=t in the above expression.

$t^2-2t-35$

Splitting the middle term we get

$t^2-7t+5t-35$

$t(t-7)+5(t-7)$

$(t-7)(t+5)$

Substitute the value of t in the above expression.

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

Therefore, factored form of the given expression is (3x-y-7)(3x-y+5).

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