Solve: 27 x^2-12 y^2 - Vidyadip

Question

Solve:
$27 x^2-12 y^2$

✓

Answer

$27 x^2-12 y^2$
$=3\left(9 x^2-4 y^2\right)$
$=3\left[(3 x)^2-(2 y)^2\right]$
$=3(3 x-2 y)(3 x+2 y)$

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 Mark Question" from Factorization→Factorization — all question types→Maths STD 8 question papers→Maharashtra Board STD 8 question papers→Maharashtra Board question paper generator→

Similar questions

The sum of two numbers is $\frac{-4}3{}.$ If one of the numbers is $-5,$ find the other.

Show that:
$(3 x+7)^2-84 x=(3 x-7)^2$

Verify the following:
$\frac{-5}{8}+\frac{-9}{13}=\frac{-9}{13}+\frac{-5}{8}$

Verify the following:
$\frac{-8}{7}\times\frac{13}{9}=\frac{13}{9}\times\frac{-8}{7}$

Simplify:$(2^{2}+3^2-4^2)\div\Big(\frac{3}{2}\Big)^2$

By what least number should the given number be multiplied to get a perfect square number? In case, find the number whose square is the new number.
$2475$

Find the following products:
$(9 x+5 y) \times(4 x+3 y)$

Find the measure of each interior angle of a regular polygon having:
15 sides.

Using laws of indices, write proper numbers in the following boxes.

$\left(\frac{5}{7}\right)^3=\frac{()^3}{()^3}$