Question

giúp mk bài này với:

a. 4x^2-y^2+4x+1

b. x^3-x +y^3 -y

c. x^3-6x^2y+12

Answer 1

a/\(4x^2-y^2+4x+1=\left(4x^2+4x+1\right)-y^2=\left(2x+1\right)^2-y^2=\left(2x-y+1\right)\left(2x+y+1\right)\)

b/ \(x^3-x+y^3-y=\left(x^3+y^3\right)-\left(x+y\right)=\left(x+y\right)\left(x^2-xy+y^2\right)-\left(x+y\right)=\left(x+y\right)\left(x^2-xy+y^2-1\right)\)

c/ sai đề?

Answer 2

a, \(4x^2-y^2+4x+1\)

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

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

\(=\left(2x+1-y\right)\left(2x+1+y\right)\)