Question

3. Simplify

(a) (2m + 3)2 – (2m – 3)2​

Answer 1

Step-by-step explanation:

(4m+6)-(4m-6)

4m+6-4m-6

4m-4m+6-6

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Answer 2

Explanation :-

✔ Given :-

• (2m + 3)2 - (2m - 3)2

✔ Solution :-

=> (2m + 3)2 - (2m - 3)2

=> 4m + 6 - (4m - 6)

=> 4m + 6 - 4m + 6

=> 6 + 6

✔ 12

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✔ Some algebraic identities,

• (a + b)² = a² + 2ab + b²

• (a - b)² = a² - 2ab + b²

• (a + b)³ = a³ + 3a²b + 3ab² + b³

• (a - b)³ = a³ - 3a²b + 3ab² - b³

• (x + a) (x + b) = x² + (a + b)x + ab