Question
Factorise:$x(x + y)^3 - 3x^2y(x + y)$
✓
Answer
$x(x + y)^3 - 3x^2y(x + y)$
$= x(x + y)[(x + y)^2 - 3xy]$
$= x(x + y)(x^2 + y^2 + 2xy - 3xy)$
$= x(x + y)(x^2 + y^2 - xy)$
$= x(x + y)[(x + y)^2 - 3xy]$
$= x(x + y)(x^2 + y^2 + 2xy - 3xy)$
$= x(x + y)(x^2 + y^2 - xy)$
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
Factorize: $125x^3 - 27y^3 - 225x^2y + 135xy^2$
→Find the value of x in the following:
$\sqrt[5]{5\text{x}+2}=2$
→$\sqrt[5]{5\text{x}+2}=2$
The ages of ten students of a group are given below. The ages have been recorded in years and months:
8-6, 9-0, 8-4, 9-3, 7-8, 8-11, 8-7, 9-2, 7-10, 8-8
8-6, 9-0, 8-4, 9-3, 7-8, 8-11, 8-7, 9-2, 7-10, 8-8
- What is the lowest age?
- What is the highest age?
- Determine the range?
Check the following are solutions of the equation 2x - y = 6 and which are not:
(2, -2)
(2, -2)
In a trapezium ABCD, AB || DC and M is the midpoint of BC. Through M, a line PQ || AD has been drawn which meets AB in P and DC produced in Q, as shown in the adjoining figure.
Prove that $\text{A}\text{(ABCD)}=\text{A}(\text{APQD}).$
→Prove that $\text{A}\text{(ABCD)}=\text{A}(\text{APQD}).$
Examine whether the following number are rational or irrational:
$\big(\sqrt{3}+2\big)^2$
→$\big(\sqrt{3}+2\big)^2$
Factorise:
$21\text{x}^2-2\text{x}+\frac{1}{21}$
→$21\text{x}^2-2\text{x}+\frac{1}{21}$
If the radius of a sphere is doubled, what is the ratio of the volume of the first sphere to that of the second sphere?
Find the value to three place of decimals of each of the following. It is given that $\sqrt2=1.414,\ \sqrt3=1.732,\ \sqrt5=2.236,\ \sqrt10=3.162.$
$\frac{\sqrt{2}-1}{\sqrt5}$
→$\frac{\sqrt{2}-1}{\sqrt5}$
Evaluate the product without multiplying directly: $104 \times 96$
→