Question

(a)Factorize: a⁴+ b⁴- 7a²b²



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Answer 1

Answer:

a4+ b4-7a 2 b2.

above terms can be written as. a4+ b4 + 2a2 b62 -9a2 b2 we know that (a+b)2 = a2+2ab+b2 [(a2)2+(b2)2 +(2×a2×b2)]- (3ab)2 (a2 + b2)2 -(3ab)2. we know that (a+b)2 =a 2+2ab +b2 [(a2)2 + (b2)2 +(2×a2×b2)] -(3ab)2 (a2+b2)2 -(3ab)2.

we know that a2 -b2 =(a+b) (a-b).

(a2+b2 +3ab) (a2 +b2 - 3ab).

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