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

Open in App

Solution

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

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

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

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

Suggest Corrections

Similar questions

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

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

Factorise :

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

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

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

Join BYJU'S Learning Program