Question
Factorise:
$(x+2)^3-(x-2)^3$
$(x+2)^3-(x-2)^3$
✓
Answer
$(x+2)^3-(x-2)^3$
$=[(x+2)-(x-2)]\left[(x+2)^2+(x+2)(x-2)+(x-2)^2\right]$
$=4\left(x^2+4 x+4+x^2-4+x^2-4 x+4\right)$
$=4\left(3 x^2+4\right)$
$=[(x+2)-(x-2)]\left[(x+2)^2+(x+2)(x-2)+(x-2)^2\right]$
$=4\left(x^2+4 x+4+x^2-4+x^2-4 x+4\right)$
$=4\left(3 x^2+4\right)$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
In given figure, $\angle A B C=69^{\circ}, \angle A C B=31^{\circ}$, find $\angle B D C$.
→Simplify the expression: (5 + $\sqrt{7}$)( 2 + $\sqrt{5}$)
→Factorize the following expressions:
$y^3+125$
→$y^3+125$
Check the following are the solution of the equation $5x - 4y = 20$.$\Big(-2,\ \frac{5}{2}\Big)$
→Find the value to three place of decimals of each of the following. It is given that $\sqrt2=1.414,\ \sqrt3=1.732,\ \sqrt5=2.236,\ \sqrt10=3.162.$ $\frac{3}{\sqrt{10}}$
→The linear equation that converts Fahrenheit $(F)$ to Celsius $(C)$ is given by the relation,
$\text{c}=\frac{5\text{F}-160}{9}$
If the temperature is $86^\circ F$, what is the temperature in Celsius?
→$\text{c}=\frac{5\text{F}-160}{9}$
If the temperature is $86^\circ F$, what is the temperature in Celsius?
Define the following terms: Supplementary angles.
Examine whether the following numbers are rational or irrational. $3+\sqrt{3}$
→Examine whether the following number are rational or irrational: $\frac{2\sqrt{13}}{3\sqrt{52}-4\sqrt{117}}$
→Simplify the following: $\frac{(4\times10^7)(6\times10^5)}{8\times10^4}$
→