Divide c⁴ - d⁴ by c + d – InterviewSolution

1.	Divide c⁴ - d⁴ by c + d
Answer» Required ANSWER: $\maltese \: \underbrace { \bf Given:-}$ The EQUATION:- $\sf c^4 - d^4 \div c + d$ $\maltese \: \underbrace { \bf What \: To \: Do:-}$ We have to divide the given equation. $\maltese \: \underbrace { \bf Solution:-}$ $\sf c^4 - d^4 \div c + d$ Also WRITTEN as, $\sf \Rightarrow \dfrac{c^4 - d^4}{c + d}$ c⁴ - d⁴ can be written as (c²)² - (d²)², $\sf \Rightarrow \dfrac{(c^2)^2 - (d^2)^2}{c + d}$ Using the identity a² - b² = (a - b) (a + b) where a = c² and b = d² solve, $\sf \Rightarrow \dfrac{(c^2 - d^2) (c^2 + d^2)}{c + d}$ Again using the identity a² - b² = (a - b) (a + b) where a = c² and b = d² solve, $\sf \Rightarrow \dfrac{(c - d)( c + d) (c^2 + d^2)}{c + d}$ Cancel c + d in both numerator and DENOMINATOR, $\sf \Rightarrow (c - d)(c^2 + d^2)$ $\overbrace{ \underline { \boxed { \rm \therefore The \: answer \: is \: (c - d) (c^2 + d^2)}}}$