Question

factorise x^4+y^4+x^2y^2​

Answer 1

Answer:

$\mathcal{\purple{answer = {({x}^{2} + {y}^{2} ) }^{2} }}$

Step-by-step explanation:

Given question: factorie x⁴+y⁴+2(x²)(y²)

by using ALGEBRAIC IDENTITY

(a+b)²=a²+b²+2ab

by squaring both sides;

we will get,

(x²+y²)²=x⁴+y⁴+2x²y²

So,the required ANSWER

Answer 2

Answer:

$\mathcal{\red{answer = {( {x}^{2} + {y}^{2} )}^{2} }}$

by using the ALGEBRAIC IDENTITY

(a+b)²=a²+b²+2ab

=x⁴+y⁴+2x²y²

=(x²+y²)²

is the required ANSWER