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Question 4: Factorize 3x-243×3

Question 4: Factorize 3x-243×3

a square minus b square type expressions

Solution:

The given expression is as under’

3x-243 x^{3}

We see that 3x is common between the two terms- taking it out;

=3x(1-81 x^{3})

=3x[(1)^{2}-(9 x)^{2})]

The terms within brackets depict  a^{2}-b^{2} =(a-b)(a+b) form, so;

=3x[(1-9x)(1+9x)]

 


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