Question
Factorise:
a2 + ab(b + 1) + b3
a2 + ab(b + 1) + b3
✓
Answer
a2 + ab(b + 1) + b3
= a2 + ab2 + ab + b3
= a2 + ab + ab2 + b3
= a(a + b) + b2(a + b)
= (a + b)(a + b2)
= a2 + ab2 + ab + b3
= a2 + ab + ab2 + b3
= a(a + b) + b2(a + b)
= (a + b)(a + b2)
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
Define the following terms:
Complementary angles.
Complementary angles.
Expand the following:
(3a - 2b)3
(3a - 2b)3
By Remainder Theorem find the remainder, when p(x) is divided by g(x), where:
$\text{p(x)}=\text{x}^3-6\text{x}^2+2\text{x}-4,$ and $\text{g(x)}=1-\frac{3}{2}\text{x} $
→$\text{p(x)}=\text{x}^3-6\text{x}^2+2\text{x}-4,$ and $\text{g(x)}=1-\frac{3}{2}\text{x} $
Factorise:
x2 - 21x + 90
x2 - 21x + 90
Factorise:
$\text{x}^2+6\sqrt{6}\text{x}+48$
→$\text{x}^2+6\sqrt{6}\text{x}+48$
Rationalise the denominator of the following:
$\frac{1}{5+3\sqrt{2}}$
→$\frac{1}{5+3\sqrt{2}}$
A cone, a hemisphere, and a cylinder stand on equal bases and have the same height. Show that their volumes are in the ratio 1 : 2 : 3.
Read the Source/ Text given below and answer these questions:
In the above picture, one small square is of size 1km × 1km. From the starting point O(0, 0) Deepak started to drive towards his home. He first drives 3km in left then he turned to his left and drove 2km, there he found a temple. He worshipped there and drove 6km in the left direction, there is a zoo and from the zoo, he drives 2km on the right side, then he reached his home. From O Sanjay drove for his school, he drove 1km to his right then took a left turn and drives 2km then again took a right turn and drives 2km. He found a hospital in the way. From Hospital he drove 3km and finally reached his school.
questions:
1. What are the coordinates of the Hospital?
2. What is common abscissa of school, Hospital, Zoo and Deepak's home?
In the above picture, one small square is of size 1km × 1km. From the starting point O(0, 0) Deepak started to drive towards his home. He first drives 3km in left then he turned to his left and drove 2km, there he found a temple. He worshipped there and drove 6km in the left direction, there is a zoo and from the zoo, he drives 2km on the right side, then he reached his home. From O Sanjay drove for his school, he drove 1km to his right then took a left turn and drives 2km then again took a right turn and drives 2km. He found a hospital in the way. From Hospital he drove 3km and finally reached his school.
questions:
1. What are the coordinates of the Hospital?
2. What is common abscissa of school, Hospital, Zoo and Deepak's home?
A shopkeeper has one spherical laddoo of radius 5cm. With the same amount of material, how many laddoos of radius 2.5cm can be made?
30 children were asked about the number of hours they watched TV programmes last week. The results are recorded as under:
Can we say that the number of children who watched TV for 10 or more hours a week is 22? Justify your answer.
| Number of hours | 0-5 | 5-10 | 10-15 | 15-20 |
| Frequency | 8 | 16 | 4 | 2 |