Question

(a-2b)^2 - 2(a-2b)(2a-b)+(2a-b)^2​

Answer 1

Step-by-step explanation:

(a-2b)² - 2(a-2b)(2a-b)+(2a-b)²

Let a-2b=x and 2a-b=y

x²-2xy+y²=(x-y)²

Here x=a-2b and y=2a-b

(x-y)²=(a-2b-(2a-b))²

=(a-2b-2a+b)²

=(-a-b)²

=(-1)²(a+b)²

=(a+b)²

So,

(a-2b)² -2(a-2b)(2a-b)+(2a-b)²=(a+b)²

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