Question
Expand : $\left(2 m+\frac{1}{5}\right)^3$
✓
Answer
$\begin{aligned} & \text { Here, } a=2 m \text { and } b=\frac{1}{5} \\ & \left(2 m+\frac{1}{5}\right)^3 \\ & =(2 m)^3+3(2 m)^2\left(\frac{1}{5}\right)+3(2 m)\left(\frac{1}{5}\right)^2+\left(\frac{1}{5}\right)^3 \\ & \quad \ldots\left[\because(a+b)^3=a^3+3 a^2 b+3 a b^2+b^3\right] \\ & =8 m^3+3\left(4 m^2\right)\left(\frac{1}{5}\right)+3(2 m)\left(\frac{1}{25}\right)+\frac{1}{125} \\ & =8 m^3+\frac{12 m^2}{5}+\frac{6 m}{25}+\frac{1}{125}\end{aligned}$
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
Solve:$25 x^2-10 x+1-36 y^2$
→Compute the amount and the compound interest in each of the following by using the formulae when:
Principal = Rs. 2000, Rate = 4 paise per rupee per annum, Time = 3 years
Principal = Rs. 2000, Rate = 4 paise per rupee per annum, Time = 3 years
A classroom is 11 m long, 8 m wide and 5 m high. Find the sum of the areas of its floor and the four walls (including doors, windows etc).
In a single throw of two coins, find the probability of getting:
- Both tails,
- At least 1 tail,
- At the most 1 tail.
In a model of a ship, the mast is 9cm high, while the mast of the actual ship is 15m high. If the length of the ship is 35 metres, how long is the model ship?
Solve:
$\frac{8\text{x}-3}{3\text{x}}=2$
→$\frac{8\text{x}-3}{3\text{x}}=2$
The cost of $7\frac{2}{3}$ metres of rope is Rs $12\frac{3}{4}$ Find its cost per metre.
→Find the number of sides of a regular polygon when each of its angles has a measures of:-
150°
150°
Devide The Following :
$\left(y^2+10 y+24\right) \div(y+4)$
→$\left(y^2+10 y+24\right) \div(y+4)$
The lengths of the diagonals of a rhombus are 16cm and 12cm respectively. Find the length of each of its sides.