Question

$${ x }^{ 2 } (x-1)+4x(x-1)+4x-4$$

Answer

$$x^3+3*x^2-4$$

Solution


Expand by distributing terms.
\[{x}^{3}-{x}^{2}+4x(x-1)+4x-4\]
Expand by distributing terms.
\[{x}^{3}-{x}^{2}+4{x}^{2}-4x+4x-4\]
Collect like terms.
\[{x}^{3}+(-{x}^{2}+4{x}^{2})+(-4x+4x)-4\]
Simplify.
\[{x}^{3}+3{x}^{2}-4\]