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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
Factorise the following : (2x + 1/3)² - (x - 1/2)²
Solution:
Given, the polynomial is (2x + 1/3)² - (x - 1/2)²
We have to factorise the polynomial
Using the algebraic identity,
a² - b² = (a + b)(a - b)
So, (2x + 1/3)² - (x - 1/2)² = (2x + 1/3 + x - 1/2) (2x + 1/3 - (x - 1/2))
= (3x + 1/3 - 1/2)(2x + 1/3 - x + 1/2)
= (3x + (2 - 3)/6)(x + (2 + 3)/6)
= (3x - 1/6)(x + 5/6)
Therefore, (2x + 1/3)² - (x - 1/2)² = (3x - 1/6)(x + 5/6)
✦ Try This: Factorise the following : (2x + 3)² - (x - 2)²
☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 2
NCERT Exemplar Class 9 Maths Exercise 2.3 Problem 26(iii)
Factorise the following : (2x + 1/3)² - (x - 1/2)²
Summary:
On factorising (2x + 1/3)² - (x - 1/2)² using the algebraic identity, we get the factors as (3x - 1/6)(x + 5/6)
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