Question

$(2a + 4b {)}^{3} - (2a - 4b {)}^{3}$
Simplify​

Answer 1

Step-by-step explanation:

Let (2a+4b)=a and (2a-4b)=b

a³-b³

=(a-b)(a²+b²+ab)

=[2a+4b-(2a-4b)][(2a+4b)²+(2a-4b)²+{(2a+4b)×(2a-4b)}]

=[2a+4b-2a+4b][(4a²+16b²+16ab)+(4a²+16b²-16ab)+{(2a)²-(4b)²

=[8b²][4a²+16b²+16ab+4a²+16b²-16ab+4a²-16b²]

=[8b²][12a²+16a²]

Hope this helps you

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