Question

factorise the following a x square + b y square + b x square + a y square

Answer 1

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Answer 2

Answer:

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

Step-by-step explanation:

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

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

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

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