Question

Simplify (a+2b)²+ (2a-b)²-(a²-b²)​

Answer 1

Answer:

(a^2+4b^2+4ab)+(4a^2-4ab+b^2)-(a^2-b^2)

a^2+4b^2+4ab+4a^2-4ab-b^2-a^2+b^2

                     (canelling like terms)

4b^2+3a^2+a^2

4a^2+4b^2

(2a)^2+(2b)^2

(2a+2b)^2

hope it helps you

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Answer 2

Explanation:

(a+2b)² + (2a-b)²- (a²-b²)

a²+(2b)²+2.a.2b + {(2a)²+b²-2.2a.b}+(a+b)(a-b)

a²+4b²+4ab+4a²+b²-4ab+(a+b) (a-b)

a²+4a²+b²+4b²+(a+b) (a-b)

5a²+5b²+(a+b)(a-b)

5a²+5b²-(a²-b²)

5a²+5b²-a²+b²

4a²+6b²