Question
Simplify:
$\left(3 x-\frac{1}{3 x}\right)^2-\left(3 x+\frac{1}{3 x}\right)\left(3 x-\frac{1}{3 x}\right)$

Answer

$2\left(\frac{1}{9 x^2}-1\right)$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

In a shooting competition a marks man receives $50$ paise if he hits the mark and pays $20$ paise if he misses it. He tried $100$ shots and was paid $Rs. 29$. How many times did he hit the mark?
The bisectors of the equal angles $B$ and $C$ of an isosceles $\triangle ABC$ meet at $O.$ Prove that $AO$ bisects $\angle A.$
In the given figure, $AB \| DC \| EF , AD \| BE$ and $DE \| AF$.
Prove that : $\operatorname{ar}(\| gm$ DEFH $)=\operatorname{ar}(\| gm ABCD )$.
Image
In the given figure, ABCD is a kite whose diagonals intersect at O . If $\angle DAB =54^{\circ}$ and $\angle BCD =76^{\circ}$, calculate :
(i) $\angle ODA$
(ii) $\angle OBC$.
Image
Find the area of a triangle whose sides are $27 \ cm, 45 \ cm$ and $36 \ cm.$
In the given figure, $A B=D B$ and $A C=D C$.

If  $\angle \mathrm{ABD}=58^{\circ}, \angle \mathrm{DBC}=(2 \mathrm{x}-4)^{\circ}, \angle \mathrm{ACB}=\mathrm{y}+15^{\circ} $ and $\angle \mathrm{DCB}=63^{\circ};$ find the values of $x$ and $y.$
Find $x$, if $: x-\log 48+3 \log 2=\frac{1}{3} \log 125-\log 3$.
The daily wages in a factory are distributed as follows:
Daily wages $($in $Rs.)$ $125 - 175$ $175 - 225$ $225 - 275$ $275 - 325$ $325 - 375$
Number of workers $4$ $20$ $22$ $10$ $6$
Draw a frequency polygon for this distribution.
In the given figure, $T$ is the midpoint of $QR$. Side $PR$ of $\triangle PQR$ is extended to $S$ such that $R$ divides $PS$ in the ratio $2:1$. $TV$ and $WR$ are drawn parallel to $PQ$. Prove that $T$ divides $SU$ in the ratio $2:1$ and $WR = \frac{1}{4} PQ$.
Image
If $2 \sin x = \sqrt{3} ,$ evaluate.$(i) \ 4 \sin^3 x - 3 \sin x.(ii) \ 3 \cos x - 4 \cos^3 x.$