Math, asked by student8th13, 2 months ago

x⁴+2x²y²+y⁴

factorise please

Answers

Answered by jumanaaliasghar
2

Answer:

We know that a^2 - 2ab + b^2 = (a - b)^2 and

(a^2 - b^2) = (a+b)(a-b)

Now x^4 - 2x^2y^2 + y^4

= (x^2)^2 - 2x^2y^2 + (y^2)^2

= (x^2 - y^2)^2 = {(x+y)(x-y)}^2= (x+y)^2(x-y)^2

Answered by thebeast194
0

Answer:

(x²+y²)²

Step-by-step explanation:

x⁴+2x²y²+y⁴

(x²)²+2×x²×y²+(y²)²

Identity- (a+b)²=a²+2ab+b²

(x²+y²)² Ans.

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