Download App

Algebraic Expressions, Identities and Factorisation — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSAlgebraic Expressions, Identities and Factorisation2 Marks
Question
Factorise the following using the identity $a^2- b^2= (a + b)(a - b).$
$\text{y}^3-\frac{\text{y}}{9}$
✓

Answer

$\text{y}^3-\frac{\text{y}}{9}$$= \text{y}\Big(\text{y}^2-\frac{1}{9}\Big)$
$=\text{y}\bigg[\text{y}^2-\Big(\frac{1}{3}\Big)^2\bigg]$
$=\text{y}\Big(\text{y}+\frac{1}{3}\Big)\Big(\text{y}-\frac{1}{3}\Big)$

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 Algebraic Expressions, Identities and Factorisation→Algebraic Expressions, Identities and Factorisation — all question types→MATHS STD 8 question papers→Gujarat Board STD 8 question papers→Gujarat Board question paper generator→

Similar questions

By what number should $(-15)^{-1}$ be divided, so that quotient may be equal to $(-15)^{-1}$ ?
→
How many vertices are there in a: Square pyramid?
→
Following are the number of members in $25$ families of a village: $6, 8, 7, 7, 6, 5, 3, 2, 5, 6, 8, 7, 7, 4, 3, 6, 6, 6, 7, 5, 4, 3, 3, 2, 5.$ Prepare a frequency distribution table for the data using class intervals $0-2, 2-4,$ etc.
→
Verify the following: $\frac{-8}{7}\times\frac{13}{9}=\frac{13}{9}\times\frac{-8}{7}$
→
What is the sum of all interior angles of a regular: Polygon of $12$ sides?
→
Find the value of $x$ for which the number $x806$ is divisible by $9.$ Also, find the number.
→
What number should be added to $\frac{-5}{7}$ so as to get $\frac{-2}{3}?$
→
$(79)^2-(69)^2$
→
If $\frac{6^n}{6^{-2}}=6^3$, then find the value of $n$
→
Evalute: $ \left\{(405)^2-(395)^2\right\} $
→