bài 4
a) A= x^3 +15x^2+75x+125
=(x+5)^3
thay x=-7 vào đẳng thức ta có
(x+5)^3=(-7+5)^3=(-2)^3=-8
b) B=8x^3-12x^2y+6xy^2-y^3
=(2x-y)^3
thay 2x-y=1/3 ta có
(2x-y)^3=(1/3)^3=1/27
Bài 3:
a: Ta có: \(A=\left(x+2\right)^3+\left(x-2\right)^3-2x\left(x^2+12\right)\)
\(=x^3+6x^2+12x+8+x^3-6x^2+12x-8-2x^3-24x\)
=0
b: Ta có: \(B=\left(x+1\right)^3-\left(x-1\right)^3-3\left[\left(x+1\right)^2+\left(x-1\right)^2\right]\)
\(=x^3+3x^2+3x+1-x^3+3x^2-3x+1-3\cdot\left(x^2+2x+1+x^2-2x+1\right)\)
\(=6x^2+2-3\left(2x^2+2\right)\)
\(=6x^2+2-6x^2-6\)
=-4