Download App

Factorisation of Polynomials — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsFactorisation of Polynomials2 Marks
Question
Factorise:
x3 - 512
✓

Answer

x3 - 512
= (x)3 - (8)3
= (x - 8)[(x)2 + x × 8 + (8)2] Since a3 - b3 = (a - b)(a2 + a × b + b2)
= (x - 8)(x2 + 8x + 64)
= x3 + 8x2 + 64x - 8x2 - 64x - 512
= x3 - 512

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

Similar questions

Simplify the following expression:

$(\sqrt{5}-\sqrt{2})(\sqrt{5}+\sqrt{2})$

→
A vessel in the form of a hemispherical bowl is full of water. Its contents are emptied in a right circular cylinder. The internal radii of the bowl and the cylinder are 3.5cm and 7cm respectively. Find the height to which the water will rise in the cylinder.
→
How many least number of distinct points determine a unique plane?
→
Factorize:
125x3 - 27y3 - 225x2y + 135xy2
→
What are irrational numbers? How do they differ from rational numbers? Give examples.
→
Factorise:
$2\sqrt{2}\text{a}^3+16\sqrt{2}\text{b}^3+\text{c}^3-12\text{abc}$
→
Factorise the following:
9x2 + 4y2 + 16z2 + 12xy - 16yz - 24xz
→
Find the mode of the following data in each case:
7, 9, 12, 13, 7, 12, 15, 7, 12, 7, 25, 18, 7
→
Find the area of a triangle whose base and altitude are 5cm and 4cm respectively.
→
Factorise:
x2 - x - 156
→