Question

divide c⁴ - d⁴ by c + d​

Answer 1

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,

$\sf \Rightarrow (c - d)(c^2 + d^2)$

$\overbrace{ \underline { \boxed { \rm \therefore The \: answer \: is \: (c - d) (c^2 + d^2)}}}$