Question

(ax +by)² +(bx - ay)²​

Answer 1

Step-by-step explanation:

(ax+by)^2 +(bx-ay)^2

(a^2x^2 + 2abxy + b^2y^2) + (b^2x^2 -2abxy + a^2y^2)

a^2x^2 + b^2y^2 + b^2x^2 + a^2y^2

Did you want to factor this? If so, do factoring by grouping:

a^2x^2 + b^2x^2 + b^2y^2 + a^2y^2

x^2(a^2 +b^2) + y^2(a^2 + b^2)

(a^2 + b^2) (x^2+y^2)