Math, asked by simijohnson2007, 1 month ago

Evaluate with explanation. (a²+b²) (a+b) (a-b)​

Answers

Answered by raj221802
1

QUESTION : Evaluate with explanation. (a²+b²) (a+b) (a-b)

WHAT TO FIND : THE VALUE OF (a²+b²)(a+b)(a-b)

SOLUTION :

ON THE BASIS OF THE FORMULA a²-b² = (a+b) (a-b)

WE CAN WRITE : (a²+b²)(a²-b²)

=a²×a²+a²×-b²+b²×a²+b²×-b²

=a^4+-ab²-b^4×ab²×-b^4

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Answered by Vikramjeeth
7

*Question:

Evaluate with explanation. (a²+b²) (a+b) (a-b).

*Answer:

→ (a² + b²) (a + b) (a - b)

→ (a² + b²) (a² - b²)

→ a²(a² - b²) + b²(a² - b²)

→ a⁴ - a²b² + a²b² - b⁴

→ a⁸ - a⁴b⁴ + a⁴b⁴ - b⁸

→ (a⁴ - b⁴)

Hence our answer is (a⁴ - b⁴).

@vikramjeeth

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