Question

Bài1:thực hiện phép tính

a) (4x-1).(2x^2-x-1)

b) (4x^3+8x^2-2x):2x

c) (6x^3-7x^2-16x+12):(2x+3)

Bài2: phân tích da thức thành nhân tử

a) 2x^3-8x^2+8x

b) 2xy+2x+yz+z

c) x^2+2x+1-y^2

Answer 1

\(Bài1:\\ a,\left(4x-1\right)\left(2x^2-x-1\right)=4x\left(2x^2-x-1\right)-\left(2x^2-x-1\right)=8x^3-4x^2-4x-2x^2+x+1=8x^3-6x^2-3x+1\\ b,\left(4x^3+8x^2-2x\right):2x\\ =2x\left(2x^2+4x-1\right):2x\\ =2x^2+4x-1\)

\(Bài2:\\ a,2x^3-8x^2+8x=2x\left(x^2-4x+4\right)=2x\left(x-2\right)^2\\ b,2xy+2x+yz+z=2x\left(y+1\right)+z\left(y+1\right)=\left(y+1\right)\left(2x+z\right)\\ c,x^2+2x+1-y^2=\left(x+1\right)^2-y^2=\left(x-y+1\right)\left(x+y+1\right)\)