simplify class 8th (a² - b²)(a² + b²) - (a²- b²)²
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Answered by
35
(a² - b²)(a² + b²) - (a²- b²)²
= (a²)²-(b²)² -(a²-b²)²
= a⁴-b⁴-(a⁴-2a²b²+b⁴)
= a⁴-b⁴-a⁴+2a²b²-b⁴
= -2b⁴+2a²b²
= -2(b⁴-a²b²)
= (a²)²-(b²)² -(a²-b²)²
= a⁴-b⁴-(a⁴-2a²b²+b⁴)
= a⁴-b⁴-a⁴+2a²b²-b⁴
= -2b⁴+2a²b²
= -2(b⁴-a²b²)
Answered by
17
Bonjour!
=> (a² - b²)(a² + b²) - (a²- b²)²
=> a⁴ + a²b² - a²b² - b⁴ - (a⁴ + b⁴ - 2a²b²)
=> a⁴ - b⁴ - a⁴ - b⁴ + 2a²b²
=> 2a²b² - 2b⁴
=> 2b²(a² - b²)
=> 2b²(a - b)(a + b)
Hope this helps...:)
=> (a² - b²)(a² + b²) - (a²- b²)²
=> a⁴ + a²b² - a²b² - b⁴ - (a⁴ + b⁴ - 2a²b²)
=> a⁴ - b⁴ - a⁴ - b⁴ + 2a²b²
=> 2a²b² - 2b⁴
=> 2b²(a² - b²)
=> 2b²(a - b)(a + b)
Hope this helps...:)
9552688731:
but -b⁴-b⁴ = -2b⁴
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