Question
Simplify :
(a + b)³ – a³ – b³
✓
Answer
(a + b)³ – a³ – b³
= a³ + 3a²b + 3ab² + b³ – a³ – b³
= 3a²b + 3ab²
= a³ + 3a²b + 3ab² + b³ – a³ – b³
= 3a²b + 3ab²
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
Resolve each of the following quadratic trinomial into factor:
$2 x^2+5 x+3$
→$2 x^2+5 x+3$
Find the volume of a cube, one face of which has an area of $64m^2.$
→By what number should the following numbers be multiplied to get a perfect square in each case? Also, find the number whose square is the new number.
2880
2880
Solve:
$\frac{\text{3t}-2}{4}-\frac{\text{2t}+3}{3}=\frac{2}{3}-\text{t}$
→$\frac{\text{3t}-2}{4}-\frac{\text{2t}+3}{3}=\frac{2}{3}-\text{t}$
Referring the given figure of a parallelogram, write the answers of questions given below.
i. If l(WZ) = 4.5 cm, then l(XY) = ?
ii. If l(YZ) = 8.2 cm, then l(XW) = ?
iii. If l(OX) = 2.5 cm, then l(OZ) = ?
iv. If l(WO) = 3.3 cm, then l(WY) = ?
v. If m∠WZY = 120°, then m∠WXY = ? and m∠XWZ = ?
i. If l(WZ) = 4.5 cm, then l(XY) = ?
ii. If l(YZ) = 8.2 cm, then l(XW) = ?
iii. If l(OX) = 2.5 cm, then l(OZ) = ?
iv. If l(WO) = 3.3 cm, then l(WY) = ?
v. If m∠WZY = 120°, then m∠WXY = ? and m∠XWZ = ?
The length of a rectangle exceeds its breadth by 7cm. If the length is decreased by 4cm and the breadth is increased by 3cm, the area of the new rectangle is the same as the area of the original rectangle. Find the length and the breadth of the original rectangle.
Match the following figures:
Construct a frequency table with equal class intervals from the following data on the monthly wages (in rupees) of 28 labourers working in a factory, taking one of the class intervals as 210-230 (230 not included):
220, 268, 258, 242, 210, 268, 272, 242, 311, 290, 300, 320, 319, 304, 302, 318, 306, 292, 254, 278, 210, 240, 280, 316, 306, 215, 256, 236.
220, 268, 258, 242, 210, 268, 272, 242, 311, 290, 300, 320, 319, 304, 302, 318, 306, 292, 254, 278, 210, 240, 280, 316, 306, 215, 256, 236.
Solve the following equation and verify your answer:
$\frac{2}{3\text{x}}-\frac{3}{2\text{x}}=\frac{1}{12}$
→$\frac{2}{3\text{x}}-\frac{3}{2\text{x}}=\frac{1}{12}$
Plot the given points on a graph sheet and check if they lie on a straight line. If not, name the shape they form when joined in the given order.
P(1, 3), Q(1, 5), R(3, 3) and S(3, 5)
P(1, 3), Q(1, 5), R(3, 3) and S(3, 5)