Evaluate (4a + 3b) 2 - (4a - 3b) 2 + 48ab

Solving, ⇒ (4a + 3b) 2 - (4a - 3b) 2 + 48ab ⇒ (4a) 2 + (3b) 2 + 2 × 4a × 3b - [(4a) 2 + (3b) 2 - 2 × 4a × 3b] + 48ab ⇒ 16a 2 + 9b 2 + 24ab - [16a 2 + 9b 2 - 24ab] + 48ab ⇒ 16a 2 + 9b 2 + 24ab - 16a 2 - 9b 2 + 24ab + 48ab ⇒ 96ab. Hence, (4a + 3b) 2 - (4a - 3b) 2 + 48ab = 96ab.

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Mathematics

Evaluate (4a + 3b)² - (4a - 3b)² + 48ab

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Solving,

⇒ (4a + 3b)² - (4a - 3b)² + 48ab

⇒ (4a)² + (3b)² + 2 × 4a × 3b - [(4a)² + (3b)² - 2 × 4a × 3b] + 48ab

⇒ 16a² + 9b² + 24ab - [16a² + 9b² - 24ab] + 48ab

⇒ 16a² + 9b² + 24ab - 16a² - 9b² + 24ab + 48ab

⇒ 96ab.

Hence, (4a + 3b)² - (4a - 3b)² + 48ab = 96ab.

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Mathematics

Evaluate (4a + 3b)² - (4a - 3b)² + 48ab

Expansions

Answer

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Mathematics

Evaluate (4a + 3b)2 - (4a - 3b)2 + 48ab

Expansions

Answer

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Evaluate (4a + 3b)² - (4a - 3b)² + 48ab

If a - 2b + 3c = 0; state the value of a³ - 8b³ + 27c³.

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