Expand the expression 4/((x-1)(x^2+1))

 Exercise

$\frac{4}{\left(x-1\right)\left(x^2+1\right)}$

 

Multiply the single term $x^2+1$ by each term of the polynomial $\left(x-1\right)$

$\frac{4}{x\left(x^2+1\right)-\left(x^2+1\right)}$

 

Multiply the single term $x$ by each term of the polynomial $\left(x^2+1\right)$

$\frac{4}{x^2x+x-\left(x^2+1\right)}$

 

When multiplying exponents with same base you can add the exponents: $x^2x$

$\frac{4}{x^{3}+x-\left(x^2+1\right)}$

 

Multiply the single term $-1$ by each term of the polynomial $\left(x^2+1\right)$

$\frac{4}{x^{3}+x-x^2-1}$

$\frac{4}{x^{3}+x-x^2-1}$

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