a⁴+b⁴-7a²b². factorize plz fast
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Answered by
9
a⁴+b⁴-7a²b²
(a²)² + (b²)² - 7a²b²
(a²+b²)-2a²b²-7a²b²
(a+b)-2ab-9a²b²
Answered by
23
Answer:
(a²+b²+3ab) (a²+b²-3ab)
Step-by-step explanation:
the question is a⁴+b⁴-7a²b²
now,
= (a²)²+(b²)²-7a²b²
using the identity, a²+b²=(a+b) ²-2ab
=(a+b) ²-2a²b²-7a²b²
=(a+b)²-9a²b²
=(a+b)²-(3ab)²
using the identity,a²-b²=(a+b) (a-b)
(a²+b²+3ab) (a²+b²-3ab) [Answer]
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