\(\left(ax+by\right)^2-\left(ay+bx\right)^2\)
\(=\left(ax+ay+bx+by\right)\left(ax-ay+by-bx\right)\)
\(=\left(a+b\right)\left(x+y\right)\left(a-b\right)\left(x-y\right)\)
\(\left(ax+by\right)^2-\left(ay+bx\right)^2=\left(ax+by-ay-bx\right)\left(ax+by+ay+bx\right)\)
\(=\left[a\left(x-y\right)-b\left(x-y\right)\right].\left[a\left(x+y\right)+b\left(x+y\right)\right]\)
\(=\left(a-b\right)\left(x-y\right)\left(a+b\right)\left(x+y\right)\)
Xin lỗi!
\(\left(ax+by\right)^2-\left(ay+bx\right)^2\)
\(=\left(ax+ay+bx+by\right)\left(ax-ay+bx-by\right)\)
\(=\left(a+b\right)\left(x+y\right)\left(a-b\right)\left(x-y\right)\)