Question

Simplify the following expressions:
$(a^4-b^4)÷(a-b)$

Answer 1

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

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

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

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

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