Question

Thực hiện phép tính:

a) (2x^2-2xy-3x+3y):(x-y)

b) (x^4-x-14):(x-2)

c) (x^3-3x^2+x-3):(x-3)

Answer 1

\(a.\left(2x^2-2xy-3x+3y\right):\left(x-y\right)\\ =\left(2x\left(x-y\right)-3\left(x-y\right)\right):\left(x-y\right)\\ =\left(2x-3\right)\left(x-y\right):\left(x-y\right)\\ =2x-3\)

\(b.\)

\(c.\left(x^3-3x^2+x-3\right):\left(x-3\right)\\ =\left(x^2\left(x-3\right)+\left(x-3\right)\right):\left(x-3\right)\\ \left(x^2+1\right)\left(x-3\right):\left(x-3\right)\\ =x^2+1\)

Chúc bạn học tốt :))