Question

Factorise4(a+b) - 6(a+b)²​

Answer 1

Good morning ☕️

Answer:

$2(a+b)(2 - 3a - 3b)$

Step-by-step explanation:

4(a+b) - 6(a+b)²​  

here we need to find the common factor between 4(a+b) and 6(a+b)²​

4(a+b) = 2×[2(a+b)]

6(a+b)²​ = 2×3×(a+b)×(a+b) = 3(a+b)×[2(a+b)]

then

4(a+b) - 6(a+b)²​  = 2×[2(a+b)] − 3(a+b)×[2(a+b)]

                          = [2(a+b)]×[2 - 3(a+b)]

                         = 2(a+b)×(2 − 3a − 3b)

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