Question

Answer 1

\(11,=x\left(x-y\right)+2\left(x-y\right)=\left(x+2\right)\left(x-y\right)\\ 12,=2a\left(2x-y\right)-\left(2x-y\right)=\left(2a-1\right)\left(2x-y\right)\\ 14,=3ay\left(2a-b\right)+2ax\left(2a-b\right)=a\left(3y+2x\right)\left(2a-b\right)\\ 15,=2x\left(x-3y\right)+5\left(x-3y\right)=\left(x-3y\right)\left(2x+5\right)\\ 16,=ax\left(x-3y\right)+b\left(x-3y\right)=\left(ax+b\right)\left(x-3y\right)\\ 17,=2x\left(a^2+b\right)-5y\left(a^2+b\right)=\left(a^2+b\right)\left(2x-5y\right)\\ 18,=2ax\left(x+3\right)+6a\left(x+3\right)=2a\left(x+3\right)^2\\ 20,=5a\left(2x-y\right)+\left(2x-y\right)=\left(5a+1\right)\left(2x-y\right)\\ 21,=2x^2\left(a+b\right)+x\left(a+b\right)+5\left(a+b\right)=\left(2x^2+x+5\right)\left(a+b\right)\\ 22,=x^2\left(a-b\right)-2x\left(a-b\right)-3\left(a-b\right)=\left(x^2-2x-3\right)\left(a-b\right)=\left(x-3\right)\left(x+1\right)\left(a-b\right)\)