Question

x+y =8,XY=15 then find the value of x^4 + x^2y^2 +y^4​

Answer 1

x^4+x^2×y^2+y^4

= x^4+y^4+(x^2×y^2)

= (x+y)^4 +(xy)^2

In the question given that x+y =8 and xy=15

then, 8^4+15^2

That is , 4096+225

=4321

I hope it would help you