Question

Answer 1

\(1,\\ a,=3\left(x-y\right)\\ b,=x^2\left(2+5x+y\right)\\ c,=7xy\left(2x-3y+4xy\right)\\ d,=\left(x-y\right)\left(y-1\right)\\ e,=2\left(5x-4y\right)\left(x-y\right)\\ f,=\left(x+2\right)^2-y^2=\left(x+y-2\right)\left(x-y-2\right)\\ g,Sai.đề\\ h,=\left(x-y\right)^2-\left(z-t\right)^2=\left(x-y-z+t\right)\left(x-y+z-t\right)\\ i,=\left(x+3\right)^2\\ k,=-\left(x-5\right)^2\\ l,=a^2+2ab+b^2+a^2-2ab+b^2=2\left(a^2+b^2\right)\\ m,=\left(a+b-a+b\right)\left(a+b+a-b\right)=4ab\\ n,=\left(x-3\right)\left(x^2+3x+9\right)\\ p,=\left(9x-8y\right)\left(9x+8y\right)\\ q,=\left(2x+y\right)^3\\ r,=x^2y-x^2z+y^2z-xy^2+z^2\left(x-y\right)\\ =\left(x^2y-xy^2\right)-\left(x^2z-y^2z\right)+z^2\left(x-y\right)\\ =xy\left(x-y\right)-z\left(x-y\right)\left(x+y\right)+z^2\left(x-y\right)\)

\(=\left(x-y\right)\left(xy-xz-yz+z^2\right)\\ =\left(x-y\right)\left[x\left(y-z\right)-z\left(y-z\right)\right]\\ =\left(x-y\right)\left(y-z\right)\left(x-z\right)\\ v,=\left(x^2+x\right)^2+3\left(x^2+x\right)+2-12\\ =\left(x^2+x\right)^2+3\left(x^2+x\right)-10\\ =\left(x^2+x+5\right)\left(x^2+x-2\right)\\ =\left(x-1\right)\left(x+2\right)\left(x^2+x+5\right)\)