Download App

Factorisation of Polynomials — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsFactorisation of Polynomials2 Marks
Question
Factorise:
$9 a^2+3 a-8 b-64 b^2$
 
✓

Answer

$9 a^2+3 a-8 b-64 b^2$
$=9 a^2-64 b^2+3 a-8 b$
$=(3 a)^2-(8 b)^2+(3 a-8 b)\left[\therefore a^2-b^2=(a-b)(a+b)\right]$
$=(3 a+8 b)(3 a-8 b)+(3 a-8 b)$
$=(3 a-8 b)(3 a+8 b+1)$

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 Factorisation of Polynomials→Factorisation of Polynomials — all question types→Maths STD 9 question papers→Gujarat Board STD 9 question papers→Gujarat Board question paper generator→

Similar questions

Factorise:
$27 x^3-y^3-z^3-9 x y z$
 
→
Define the following terms: Half-line.
→
Write the following in decimal form and say what kind of decimal expansion has. $\frac{3}{11}$
→
Find six rational numbers between $3$ and $4.$
→
If the heights of $5$ persons are $140\ cm, 150\ cm, 152\ cm, 158\ cm$ and $161\ cm$ respectively. Find the mean height.
→
In the following, use factor theorem to find whether polynomial $g(x)$ is a factor of polynomial $f(x)$ or, not: $f(x)=3 x^4+17 x^3+9 x^2-$ $7 x-10 ; g(x)=x+5$
→
Factorise:
$21 x^2+5 x-6$
→
The mean of $8$ numbers is $35$. If a number is excluded then the mean is reduced by $3$. Find the correct mean.
→
Give an example of two irrational numbers whose sum as well as product is rational.
→
Write in decimal form and say what kind of decimal expansion: $\frac{2}{{11}}$
→