Question

(ax + by)2 + (bx - ay)2
pls answer this question from selina maths book. ​

Answer 1

Step-by-step explanation:

(ax + by)2 + (bx – ay)2

By using the formulas;

(a + b)2 = a2 + b2 + 2ab and

(a – b)2 = a2 + b2 – 2ab

= (a2x2 + b2y2 + 2axby) + (b2x2 + a2y2 – 2bxay)

= a2x2 + a2y2 + b2y2 + b2x2 + 2axby – 2bxay

= a2(x2 + y2) + b2x2 + b2y2 + 2axby – 2axby

= a2(x2 + y2) + b2(x2 + y2)

= (x2 + y2)(a2 + b2)

So we get,

(ax + by)2 + (bx – ay)2 = (x2 + y2)(a2 + b2)

Hope it was helpful .

Answer 2

Answer:

Army here your answer is