Download App

Factorisation of Algebraic Expressions — Maths STD 8 — Question

Maharashtra BoardEnglish MediumSTD 8MathsFactorisation of Algebraic Expressions2 Marks
Question
Factorize : $343 a^3-512 b^3$
✓

Answer

343a³ – 512b³
= (7a)³ – (8b)³
Here, A = 7a and B = 8b
∴ 343a³ – 512b³
= (7a – 8b) [(7a)² + (7a)(8b) + (8b)²]
…[∵ A³ – B³ = (A – B)(A² + AB + B²)]
= (7a – 8b) (49a² + 56ab + 64b²)

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

Similar questions

Find the following products:
$\left(x^2-a^2\right) \times(x-a)$
→
A motorist travelled 122 kilometres before his first stop. If he had 10% of his journey to complete at this point, how long was the total ride?
→
If $\overline{98215\text{x}2}$ is a number with x as its tens digit such that is is divisible by 4. Find all possible values of x.
→
Factorize of the following expressions:
6xy + 6 - 9y - 4x
→
Add:
5x - 8y + 2z, 3z - 4y - 2x, 6y - z - x and 3x -2z - 3y
→
Factorise:
$1+2 x+x^2$
→
Express $\frac{-48}{60}$ as a rational number with denominator 5.
→
Test the divisibility of the following numbers by 7:
88777
→
Find the M.P. if
(i) S.P. = Rs. 495 and Discount = 1%
→
Find the square root of the following by long division method:152547201
→