Question

(2m+3n)^2 - (3m+2n)^2

Answer 1

5n²-5m²
5(n²-m²)
................

Answer 2

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(2m+3n)²-(3m+2n)²

Using the identity:-

(a+b)²=a²+b²+2ab

(2m)²+(3n)²+2(2m×3n)-[(3m)²+(2n)²+2(3m×2n)]

4m²+9n²+2(6mn)-[9m²+4n²+2(6mn)]
4m²+9n²+12mn-[9m²+4n²+12mn]

4m²+9n²+12mn-9m²-4n²-12mn

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