Factorise the following: 9 x^2-12 x+4 - Vidyadip

Question

Factorise the following:
$9 x^2-12 x+4$

✓

Answer

$9 x^2-12 x+4=(3 x)^2-2(3 x)(2)+(2)^2$
$=(3 x-2)^2\left[\therefore a^2-2 a b+b^2=(a-b)^2\right]$
$=(3 x-2)(3 x-2)$

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

Similar questions

In a parallelogram $ABCD$, determine the sum of angles $\angle\text{C}$ and $\angle\text{D}$.

Simplify: $\Bigg(\frac{12^\frac{1}{5}}{27^\frac{1}{5}}\Bigg)^\frac{5}{2}$

Simplify: $\big(\sqrt{5}-\sqrt{3}\big)^2$

Using factor theorem, show that $g(x)$ is a factor of $p(x)$, when
$p(x)=2 x^4+9 x^3+6 x^2-11 x-6, g(x)=x-1$

Find the value to three place of decimals of each of the following. It is given that $\sqrt2=1.414,\ \sqrt3=1.732,\ \sqrt5=2.236,\ \sqrt10=3.162.$ $\frac{2+\sqrt{3}}{3}$

Write the following in the expanded form: $(-3x + y + z)^2$

Without actually calculating the cube, find the value of $(-12)^3+(7)^3+(5)^3$.

Find the measure of an angle which is $36^\circ $ more than its complement.

Simplify the expression: (5 + $\sqrt{5}$)(5 - $\sqrt{5}$)

Factorise: $\frac{2}{3}\text{x}^2-\frac{17}{3}\text{x}-28$