Factorise 3(a-2b)^2 - 2(a-2b) - 8
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Question:-
➡ Factorise 3(a - 2b)² - 2(a - 2b) - 8
Solution:-
3(a - 2b)² - 2(a - 2b) - 8
= 3(a - 2b)² - 6(a - 2b) + 4(a - 2b) - 8
= 3(a - 2b){(a - 2b) - 2} + 4(a - 2b - 2)
= (3a - 6b + 4)(a - 2b - 2)
➡ Hence, the factorised form is (3a - 6b + 4)(a - 2b - 2)
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Step-by-step explanation:
We have to find such 2 numbers whose sum is -2x and the product is -24
And that numbers are -6x and 4x
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