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Powers and Roots – Simplify an expression with powers – Exercise 5656

Exercise

Simplify the expression:

\frac{a^4-b^4}{a-b}

Final Answer

\frac{a^4-b^4}{a-b}=(a+b)(a^2+b^2)

Solution

Using Powers and Roots rules we get:

\frac{a^4-b^4}{a-b}=

=\frac{(a^2-b^2)(a^2+b^2)}{a-b}=

=\frac{(a-b)(a+b)(a^2+b^2)}{a-b}=

=(a+b)(a^2+b^2)

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