Question
Factorise $: 3a^5- 108a^3$
✓
Answer
$3a^5- 108a^3$
$= 3a^3( a^2 - 36 )$
$= 3a^3[( a )^2 - ( 6 )^2]$
$= 3a^3( a - 6 )( a + 6 ) [ \because a^2 - b^2 = ( a + b )( a - b )]$
$= 3a^3( a^2 - 36 )$
$= 3a^3[( a )^2 - ( 6 )^2]$
$= 3a^3( a - 6 )( a + 6 ) [ \because a^2 - b^2 = ( a + b )( a - b )]$
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
Construct a square one of whose diagonals is 5.6 cm.
Define the following term : Variable
In the figure $,\text{AB} =\text{EF}, \text{BC} = \text{DE}, \text{AB}$ and $\text{FE}$ are perpendiculars on $\text{BE}.$ Prove that $\triangle ABD ≅ \triangle FEC$
→By actual division, show that:
$\frac{11}{9}=1 . \overline{2}$
→$\frac{11}{9}=1 . \overline{2}$
Expand $: \left(x-\frac{1}{x}+5\right)^2$
→Simplify the following and express with positive index $:\left(\frac{3^{-4}}{2^{-8}}\right)^{\frac{1}{4}}$
→A number is as much greater than $21$ as it is less than $71.$ Find the number.
→The mean of $16$ natural numbers is $48.$ Find the resulting mean, if each of the number is increased by $5.$
→Find each exterior angle of a regular polygon of $: 15$ sides
→The dimensions of a metallic cuboid are 100 cm. 80 cm 64 cm. It is melted and recast into a cube. Find
(i) the edge of the cube,
(ii) the surface area of the cube.
(i) the edge of the cube,
(ii) the surface area of the cube.