a) P=(x+1)(x2-x+1)+x-(x-1)(x2+x+1) =x3+1+x-(x3-1)+2020=x3+1+x-x3+1+2020=x+2022
Thay x= -2021 vào biểu thức P ta có:
x+2022=-2021+2022=1
Lời giải:
a.
\(P=(x^3+1)+x-(x^3-1)+2020\)
\(=x+2022=-2021+2022=1\)
b.
\(Q=64x^3-80x-(64x^3+1)=-80x-1=-80.\frac{1}{5}-1=-17\)
a: Ta có: \(P=\left(x+1\right)\left(x^2-x+1\right)+x-\left(x-1\right)\left(x^2+x+1\right)+2020\)
\(=x^3+1+x-x^3+1+2020\)
\(=x+2022=1\)
b: Ta có: \(Q=16x\left(4x^2-5\right)-\left(4x+1\right)\left(16x^2-4x+1\right)\)
\(=64x^3-80x-64x^3-1\)
\(=-16-1=-17\)


