Expand the expression (a^(x-1)-b^(n-1))(a-b)

 Exercise

$\left(a^{x-1}-b^{n-1}\right)\left(a-b\right)$

 

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

$a^{\left(x-1\right)}\left(a-b\right)-b^{\left(n-1\right)}\left(a-b\right)$

 

Multiply the single term $a^{\left(x-1\right)}$ by each term of the polynomial $\left(a-b\right)$

$a\cdot a^{\left(x-1\right)}-ba^{\left(x-1\right)}-b^{\left(n-1\right)}\left(a-b\right)$

 

When multiplying exponents with same base you can add the exponents: $a\cdot a^{\left(x-1\right)}$

$a^x-ba^{\left(x-1\right)}-b^{\left(n-1\right)}\left(a-b\right)$

 

Multiply the single term $-b^{\left(n-1\right)}$ by each term of the polynomial $\left(a-b\right)$

$a^x-ba^{\left(x-1\right)}-ab^{\left(n-1\right)}+b\cdot b^{\left(n-1\right)}$

 

When multiplying exponents with same base you can add the exponents: $b\cdot b^{\left(n-1\right)}$

$a^x-ba^{\left(x-1\right)}-ab^{\left(n-1\right)}+b^n$

$a^x-ba^{\left(x-1\right)}-ab^{\left(n-1\right)}+b^n$

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