Factorise the polynomial: $a x^{2} + b x^{2} + a y^{2} + b y^{2}$ .

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Solution

$a x^{2} + b x^{2} - a y^{2} - b y^{2}$
$= x^{2} (a + b) - y^{2} (a + b)$
$= (x^{2} - y^{2}) (a + b)$
$= (x + y) (x - y) (a + b)$

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Similar questions

{a x}^{2} + {b x}^{2} - {a y}^{2} - {b y}^{2}

a x^{2} + 2 h x y + b y^{2} = 0

90^{\circ},

Factorise :

$(a x + b y)^{2} + (b x - a y)^{2}$

Factorise by grouping method:

$(a x + b y)^{2} + (b x - a y)^{2}$

Factorise Completely : $a x^{2} - a y^{2}$

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