Question
Expand : $(52)^3$
✓
Answer
(52)³ = (50 + 3)³
Here, a = 50 and b = 2
(52)³ = (50)³ + 3(50)² (2) + 3(50)(2)² + (2)³
…[∵ (a + b)³ = a³ + 3a²b + 3ab² + b³]
= 125000 + 3(2500)(2) + 3(50)(4) + 8
= 125000 + 15000 + 600 + 8
=140608
Here, a = 50 and b = 2
(52)³ = (50)³ + 3(50)² (2) + 3(50)(2)² + (2)³
…[∵ (a + b)³ = a³ + 3a²b + 3ab² + b³]
= 125000 + 3(2500)(2) + 3(50)(4) + 8
= 125000 + 15000 + 600 + 8
=140608
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
The salary of an officer is increased by 25%. By what percent should the new salary be decreased to restore the original salary?
Write the coordinates of the vertices of each of the figures given below:
Solve:
$\frac{2\text{x}-(7-5\text{x})}{9\text{x}-(3+4\text{x})}=\frac{7}{6}$
→$\frac{2\text{x}-(7-5\text{x})}{9\text{x}-(3+4\text{x})}=\frac{7}{6}$
Find the cube root of each of the following natural numbers:
1157625
1157625
Find the selling price when.
CP = Rs. 915 and gain % $=6\frac{2}{3}\%$
→CP = Rs. 915 and gain % $=6\frac{2}{3}\%$
Three taps A, B and C can fill an overhead tank in 6 hours, 8 hours and 12 hours respectively. How long would the three taps take to fill the empty tank, if all of them are opened together?
Solve:
$q^2-10 p+21$
→$q^2-10 p+21$
The population of a town increases at the rate of 50 per thousand. Its population after 2 years will be 22050. Find its present population.
Evaluate:
$\sqrt[3]{100}\times\sqrt[3]{270}$
→$\sqrt[3]{100}\times\sqrt[3]{270}$
2.2 cubic dm of brass is to be drawn into a cylindrical wire 0.25cm in diameter. Find the length of the wire.