Question
Factorise$ : a^2( b + c) - (b + c)^3$
✓
Answer
$a^2( b + c) - (b + c)^3$
$= ( b + c )[ a^2 - ( b + c )^2 ]$
$= ( b + c )[( a + b + c )( a - b - c )]$
$= ( b + c )( a + b + c )( a - b - c )$
$= ( b + c )[ a^2 - ( b + c )^2 ]$
$= ( b + c )[( a + b + c )( a - b - c )]$
$= ( b + c )( a + b + c )( a - b - c )$
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
Prove that:
$\operatorname{cosec}^2 45^\circ - \cot^2 45^\circ = 1$
→$\operatorname{cosec}^2 45^\circ - \cot^2 45^\circ = 1$
Can you construct a $\triangle ABC$ in which $AB =5 cm, BC =4 cm$ and $AC =9 cm$ ? Give reason.
→Factorise : $7 a^3+56 b^3$
→In the given figure, $\triangle A B C$ is a scalene triangle in which $\angle B =90 . P$ is the midpoint of $AB , PQ \| BC$ and $QM \perp BC$. Which type of quadrilateral is PQMB ?
→Express the following as a vulgar fraction in simplest form:
$0 . \overline{43}$
→$0 . \overline{43}$
Factorise:
$x^2-4 x+4 y-y^2$
→$x^2-4 x+4 y-y^2$
The diagonals of a quadrilateral are $16 \ cm$ and $13 \ cm.$ If they intersect each other at right angles$;$ find the area of the quadrilateral.
→If $\sin \theta=\frac{3}{5}$ and $\theta$ is an acute angle, find the values of $\cos \theta$ and $\tan \theta$.
→If $(x-1)^{1 / 2}+(y-2)^{1 / 2}+(z-3)^{1 / 2}=0$, then find the values of $x, y$ and $z$.
→Solve the simultaneous equations graphically:
x + y = 1 and 3x + 2y = 6
x + y = 1 and 3x + 2y = 6