Download App

Algebraic Expressions, Identities and Factorisation — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSAlgebraic Expressions, Identities and Factorisation2 Marks
Question
Factorise the following using the identity $a^2- b^2= (a + b)(a - b)$.
$1331x^3y - 11y^3x$
✓

Answer

$ 1331 x^3 y-11 y^3 x $
$ =(11)^3 x^3 y-11 y^3 x $
$ =11 x y\left(11^2 x^2-y^2\right) $
$ =11 x y\left[(11 x)^2-y^2\right] $
$ =11 x y(11 x+y)(11 x-y) $

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "2 Marks Questions" from Algebraic Expressions, Identities and Factorisation→Algebraic Expressions, Identities and Factorisation — all question types→MATHS STD 8 question papers→Gujarat Board STD 8 question papers→Gujarat Board question paper generator→

Similar questions

Find the volume of a cylinder, if the diameter $(d)$ of its base and its altitude $(h)$ are: $d = 7m, h = 24m$
→
Using suitable identities, evaluate the following.
$(729)^2- (271)^2$
→
Factorise:
$x^2-4 x-12$
→
The human body is made up mostly of water. In fact, about $67\%$ of a person’s total body weight is water. If Jyoti weights $56\ kg$, how much of her weight is water?
→
Solve:
$ 4 x^2+12 x y+9 y^2 $
→
Divide $\left(-27 x^2 y\right)+(-3 x y)$.
→
Using suitable identities, evaluate the following. $9.8 \times 10.2$
→
Factorise the following, using the identity $a^2+2 a b+b^2=(a+b)^2$
$4 x^2+12 x+9$
→
Simplify:$\frac{32\text{m}^2\text{n}^3\text{p}^2}{4\text{mnp}}$
→
Find the square root of: $38\frac{11}{25}$
→