Question

Factorise: a (x) square + b(y) square + b(x) square + a(y) square= ? ​

Answer 1

Answer:

$\left(x^2+y^2\right)\left(a+b\right)$

Step-by-step explanation:

$ax^2+by^2+bx^2+ay^2$

$=a\left(x^2+y^2\right)+by^2+bx^2$

$=a\left(x^2+y^2\right)+b\left(y^2+x^2\right)$

$=\left(x^2+y^2\right)\left(a+b\right)$