Question

Factorise 4x² + 2y² + x²y² + 8​

Answer 1

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

Explanation:

irst rearrange the terms

4x^2 + x^2 y^2 + 2y^2 + 8

then factorise

x2 ( 4 + y^2) + 2 ( y^2 + 4)

group like terms together and insert the remaining terms into a bracket

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

Answer 2

`4x² + 2y² + x²y² + 8 \\arranging \: them \\ 4 {x}^(2) + {x}^(2) {y}^(2) + 2 {y}^(2) + 8 \\ {x}^(2) (4 + {y}^(2) ) + 2(y^(2) + 4) \\ ({x}^(2) + 2)(y^(2) + 4)`