Question
Simplify:
$x^2\left(x^2+1\right)-x^3(x+1)-x\left(x^3-x\right)$
$x^2\left(x^2+1\right)-x^3(x+1)-x\left(x^3-x\right)$
✓
Answer
To simplify, we will use distributive law as follows:
$x^2\left(x^2+1\right)-x^3(x+1)-x\left(x^3-x\right)$
$=x^4+x^2-x^4-x^3-x^4+x^2$
$=x^4-x^4-x^4-x^3+x^2+x^2$
$=-x^4-x^3+2 x^2$
$x^2\left(x^2+1\right)-x^3(x+1)-x\left(x^3-x\right)$
$=x^4+x^2-x^4-x^3-x^4+x^2$
$=x^4-x^4-x^4-x^3+x^2+x^2$
$=-x^4-x^3+2 x^2$
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