Question

a4-b4 divided by a2-ab

Answer 1

check solution for given question

Answer 2

$Given \:(a^{4} - b^{4}) \div (a^{2} - ab)$

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

$\boxed { \pink {Since, x^{2}-y^{2} = (x+y)(x-y) }}$

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

Therefore.,

$\red{(a^{4} - b^{4}) \div (a^{2} - ab) }\green {=\frac{(a+b)(a^{2}+b^{2})}{a}}$

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