Factorise the following : 9x² - 12x + 4
Solution:
Given, the polynomial is 9x² - 12x + 4
We have to factorise the polynomial
On factoring 9x² - 12x + 4 by splitting the middle term,
9x² - 12x + 4 = 9x² - 6x - 6x + 4
= 3x(3x - 2) - 2(3x - 2)
= (3x - 2)(3x - 2)
Therefore, the factors of 9x² - 12x + 4 are (3x - 2)(3x - 2).
✦ Try This: Factorise the following : 6x² + 10x + 4
Given, the polynomial is 6x² + 10x + 4
We have to factorise the polynomial
On factoring 6x² + 10x + 4 by splitting the middle term,
6x² + 10x + 4 = 6x² + 6x + 4x + 4
= 6x(x + 1) + 4(x + 1)
= (6x + 4)(x + 1)
Therefore, the factors of 6x² + 10x + 4 are (6x + 4)(x + 1).
☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 2
NCERT Exemplar Class 9 Maths Exercise 2.3 Problem 27(ii)
Factorise the following : 9x² - 12x + 4
Summary:
On factorising 9x² - 12x + 4 using splitting the middle term method we get (3x - 2)(3x - 2)
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