Question

Factorise : (ax+by)^2+(bx-ay)^2​

Answer 1

Answer:Given : (ax+by)2+(bx−ay)2

By using the formula (a+b)2and(a−b)2'we get,

=a2x2+b2y2+2abxy+b2x2+a2y2−2abxy

=a2x2+b2y2+b2x2+a2y2

Rearranging the terms

=a2x2+b2x2+b2y2+a2y2

By taking the common terms out

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

So we get,

(ax+by)2+(bx−ay)2= (a2+b2)(x2+y2)

Step-by-step explanation:

Answer 2

Answer:

(ax+by)(ax-by) (bx+ay) (bx-ay)