Factorise: 63 a^2-112 b^2 - Vidyadip

Question

Factorise:
$63 a^2-112 b^2$

✓

Answer

Using: $a ^2- b ^2=( a + b )( a - b )$
$63 a^2-112 b^2$
$=7\left(9 a^2-16 b^2\right)$
$=7\left[(3 a)^2-(4 b)^2\right.$
$=7(3 a+4 b)(3 a-4 b)$

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 Factorisation→Factorisation — all question types→Maths STD 8 question papers→Maharashtra Board STD 8 question papers→Maharashtra Board question paper generator→

Similar questions

Find following products:
$(4 x+5 y)(4 x+5 y)$

Find the volume of the cylinder if the circumference of the base of cylinder is 132 cm and height is 25 cm.

The sum of two numbers is $\frac{5}{9}.$ If one of the numbers is $\frac{1}{3},$ find the other.

Factorise:
$y^2+19 y+60$

Factorize of the following expressions:
qr - pr + qs -ps

By what least number should the given number be divided to get a perfect square number? In case, find the number whose square is the new number.
$8820$

Factorise:
$x^2+15 x+56$

Find the value of:
$197 \times 203$

Factorize of the following expressions:
$16(a-b)^3-24(a-b)^2$

Express 100 as the sum of 10 odd numbers.