Question

Phân tích các đa thức sau thành nhân tử:

a, x^2 -xz+z^2 -xz +y^2

b, x^3 +3x^2 +3x +1 -64y^3

c, a^3x - ab +b - x

d, ab (a - b) +bc (b - c) = ca( c - a)

e, 9a+b+c)^3 -a^3 - b^3 - c^3

g, 4a^2b^2 - (a ^2 + b^2 -c^2 )^2

Help me!!!!

Answer 1

b: \(=\left(x+1\right)^3-64y^3\)

\(=\left(x+1-4y\right)\left(x^2+2x+1+4xy+4y+16y^2\right)\)

c: \(=x\left(a^3-1\right)-b\left(a-1\right)\)

\(=\left(a-1\right)\left[x\left(a^2+a+1\right)-b\right]\)

g: \(=\left(2ab-a^2-b^2+c^2\right)\left(2ab+a^2+b^2-c^2\right)\)

\(=\left[c^2-\left(a-b\right)^2\right]\left[\left(a+b\right)^2-c^2\right]\)

\(=\left(c-a+b\right)\left(c+a-b\right)\left(a+b+c\right)\left(a+b-c\right)\)