Math, asked by kushalchacha8218, 15 days ago

using the identity (a-b)²=a²-2ab+b²,find the following products b) (3m-2n²)²​

Answers

Answered by beebeee
1

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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