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 $a^2-2 a b+b^2=(a-b)^2.$
$9\text{y}^2-4\text{xy}+\frac{\text{y}^2}{9}$
✓

Answer

$9\text{y}^2-4\text{xy}+\frac{\text{y}^2}{9}$$=\big(3\text{y}\big)^2-2\times3\text{y}\times\frac{2}{3}\text{x}+\Big(\frac{2}{3}\text{x}\Big)^2$
$=\Big(3\text{y}-\frac{2}{3}\text{x}\Big)^2$
$=\Big(3\text{y}-\frac{2}{3}\text{x}\Big)\Big(3\text{y}-\frac{2}{3}\text{x}\Big)$

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: $d = 21\ cm, h = 10\ cm$
→
Find the following products: $\frac{-7}{6}\times24$
→
Parikshit makes a cuboid of plasticine of sides $5\ cm, 2\ cm, 5\ cm$. How many such cuboids will he need to form a cube?
→
Using the prime factorisation method, find the following numbers are perfect squares: $9075$
→
Evaluate the following: $\sqrt[3]{\frac{0.027}{0.008}}\div\sqrt\frac{0.09}{0.04}-1$
→
Find whether, or not the first polynomial is a factor of the second:
$\frac{2\text{x}^2+5\text{x}+4}{\text{x+1}}$
→
What number should be added to $\frac{-5}{11}$ so as to get $\frac{26}{3}?$
→
Factorise: $16(2 p-3 q)^2-4(2 p-3 q)$
→
Divide $m^3-14 m^2+37 m-26$ by $m^2-12 m+13$
→
Add the following rational number: $\frac{31}{-4}$ and $\frac{-5}{8}$
→