Question

докажите тождество: ax-y+x-ay=(x-y)(a+1) 2)ax-2by+ay-2bx=(a-2b)(x+y)

Answer 1

$ax-y+x-ay=(x-y)(a+1) \ ax-y+x-ay=x(a+1)-y(a+1) \ ax-y+x-ay=ax+x-ay-y$

$ax-2by+ay-2bx=(a-2b)(x+y) \ ax+ay-2bx-2by=(a-2b)(x+y) \ a(x+y)-2b(x+y)=(a-2b)(x+y) \ (x+y)(a-2b)=(a-2b)(x+y)$