Download App

Factorisation of Polynomials — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsFactorisation of Polynomials2 Marks
Question
Factorise:
7a3 + 56b3
✓

Answer

7a3 + 56b3
= 7(a3 + 8b3)
= 7[(a)3 + (2b)3]
= 7(a + 2b)[a2 - a × 2b + (2b)2] Since a3 + b3 = (a + b)(a2 - a × b + b2)
= 7(a + 2b)(a2 - 2ab + 4b2)

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

ABCD is a rectangle with $\angle\text{ABD}=40^\circ$. Determine $\angle\text{DBC}$.
→
Let a be a rational number and b be an irrational number. Is ab necessarily an irrational number? Justify your answer with an example.
→
Write the following in the expanded form:
(2 + x - 2y)2
→
Multiply:
$6\sqrt{15}$ by $4\sqrt{3}$
→
Give an example of a monomial of degree 5.
→
Evaluate the following using identities:
$\big(1.5\text{x}^2-0.3\text{y}^2\big)\big(1.5\text{x}+0.3\text{y}^2\big)$
→
Draw an angle and label it as $\angle\text{BAC}.$ Construct another angle, equal to $\angle\text{BAC}.$
→
Factorize:
a2 - b2 + 2bc - c2
→
Calculate the mode of the following sizes of shoes sold by a shop on a particular day.
5, 9, 8, 6, 9, 4, 3, 9, 1, 6, 3, 9, 7, 1, 2, 5, 9
→
If f(x) = 2x3 - 13x2 + 17x + 12, Find:
f(2)
→