Question

(6a + 5b + 4c) ^ 2 - (6a - 5b - 4c) ^ 2 simplify the following​

Answer 1

Answer:

Mark as brainliest answer.

Step-by-step explanation:

→ (a + b + c)² = a²+ b² + c² + 2ab + 2bc + 2ca

→ (6a + 5b + 4c)²

→ (6a)² + (5b)² + (4c)² + 2(6a)(5b) + 2(5b)(4c) + 2(4c)(6a)

→ 36a² + 25b² + 16c² + 60ab + 40bc + 48ac

→ (a - b - c)² = a² + b² + c² - 2ab + 2bc - 2ca

→ (6a - 5b - 4c)²

→ (6a)² + (5b)² + (4c)² - 2(6a)(5b) + 2(5b)(4c) - 2(4c)(6a)

→ 36a² + 25b² + 16c² - 60ab + 40bc - 48ac

→ 36a² + 25b² + 16c² + 60ab + 40bc + 48ac - 36a² + 25b² + 16c² - 60ab + 40bc - 48ac

→ 36a² - 36a² + 25b² + 25b² + 16c² + 16c² + 60ab - 60ab + 40bc + 40bc + 48ac - 48ac

→ 50b² + 32c² + 80bc

Answer 2

Answer:

0

Step-by-step explanation:

>(6a + 5b + 4c)² - ( 6a - 5b- 4c)²

> 36a² + 25b² + 16c² - ( 36a² + 25b² + 16c²) (keeping the bracket since we have minus sign before the term)

> 36a² + 25b² + 16c² - 36a² - 25b² - 16c² (on opening the bracket "+" gets "-" and vice versa)

>0 (since plus value and the same minus value gets cancelled)