Question
Factorise:
$x(x+y)^3-3 x^2 y(x+y)$
$x(x+y)^3-3 x^2 y(x+y)$
✓
Answer
$x(x+y)^3-3 x^2 y(x+y)$
$=x(x+y)\left[(x+y)^2-3 x y\right]$
$=x(x+y)\left(x^2+y^2+2 x y-3 x y\right)$
$=x(x+y)\left(x^2+y^2-x y\right)$
$=x(x+y)\left[(x+y)^2-3 x y\right]$
$=x(x+y)\left(x^2+y^2+2 x y-3 x y\right)$
$=x(x+y)\left(x^2+y^2-x y\right)$
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
Rationalize the denominator of $\frac{3}{2 \sqrt{7}}$
→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 $\text{A}\text{(ABCD)}=\text{A}(\text{APQD}).$
$\square \mathrm{PQRS}$ is a parallelogram. $\mathrm{PQ}=3.5, \mathrm{PS}=5.3 \angle \mathrm{Q}=50^{\circ}$ then find the lengths of remaining sides and measures of remaining angles.
→Find the reduced form of the ratio of the first quantity to second quantity : 3 years 4 months, 5 years 8 months
Factorize the following polynomials: $(x-5)^2-(5 x-25)-24$
→Find the mean of first five natural numbers.
Simplify:$\big(\sqrt{5}-\sqrt{3}\big)^2$
→Find out the mode of the following marks obtained by 15 students in a class:
Marks: 4, 6, 5, 7, 9, 8, 10, 4, 7, 6, 5, 9, 8, 7, 7.
Marks: 4, 6, 5, 7, 9, 8, 10, 4, 7, 6, 5, 9, 8, 7, 7.
A number is 27 more than the number obtained by reversing its digits. If its unit's and ten's digit are x and y respectively, write the linear equation representing the above statement.
Factorise:
$x^2-32 x-105$
→$x^2-32 x-105$