Question

Answer 1

\(1)x\left(1-x\right)+\left(x-1\right)^2\\ =x-x^2+x^2-2x+1\\ =-x+1\\ 2)\left(x-3\right)^2-x^2+10x-7\\ =x^2-6x+9-x^2+10x-7\\ =4x+2\\ 3)\left(x+2\right)^2-\left(x-3\right)\left(x+1\right)\\ =x^2+4x+4-\left(x^2+x-3x-3\right)\\ =x^2+4x+4-x^2+2x+3\\ =6x+7\\ 4)\left(x+4\right)\left(x-2\right)-\left(x-3\right)^2\\ =\left(x^2+4x-2x-8\right)-\left(x^2-6x+9\right)\\ =x^2+2x-8-x^2+6x-9\\ =8x-17\)