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

 Exercise

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

 

Multiply the single term $x^{2n}$ by each term of the polynomial $\left(x^n-4x^{\left(n+1\right)}\right)$

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

 

When multiplying exponents with same base we can add the exponents

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

 

When multiplying exponents with same base we can add the exponents

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

 

Combining like terms $n$ and $2n$

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

 

Combining like terms $n$ and $2n$

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

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

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