Factorise: 2 a+6 b-3(a+3 b)^2 - Vidyadip

Question

Factorise:
$2 a+6 b-3(a+3 b)^2$

✓

Answer

$2 a+6 b-3(a+3 b)^2$
$=2(a+3 b)-3(a+3 b)^2$
$=(a+3 b)\{2-3(a+3 b)\}$
$=(a+3 b)(2-3 a-9 b)$

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

By what number should $\frac{-33}{16}$ be divided to get $\frac{-11}{4}$?

Find the squares of the following numbers.
$995$

Factorize : $27 m^3-216 n^3$

Using the method of successive subtraction examine whether or not the following numbers are perfect cubes:
1331

The value of a machine depreciates every year by 5%. If the present value of the machine be Rs. 100000, what will be its value after 2 years?

Find the smallest number which must be added to 2300 so that it becomes a perfect square.

Subtract the first rational number from the second in the following:
$\frac{-2}{11},\frac{-9}{11}$

Express 100 as the sum of 10 odd numbers.

Add $: 3a - 4b + 4c, 2a + 3b - 8c, a - 6b + c$

Find the square root of the following by long division method:
9653449