Question

因式分解：（ax+by）^2+(bx-ay)^2

Answer 1

（ax+by）^2+(bx-ay)^2

=a^2x^2+2abxy+b^2y^2+b^2x^2-2abxy+a^2y^2

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

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