using the identity (a-b)²=a²-2ab+b²,find the following products b) (3m-2n²)²
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Answer:
(3m - 2n²)²
Using identity (a-b)² = a² - 2ab + b²
Here, a = 3m & b = 2n²
(3m - 2n²)²
= (3m)² - 2(3m)(2n²) + (2n²)²
= 9m² - 12mn² + 4n⁴
Verification:
(3m-2n²)²
= (3m - 2n²)(3m - 2n²)
= 3m (3m - 2n²) - 2n²(3m - 2n²)
= 9m² - 6mn² - 6mn² + 4n⁴
= 9m² - 12mn² + 4n⁴
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