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Factorise the expression and divide them as directed: (9x2 – 4) ÷ (3x + 2) - Mathematics

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Question

Factorise the expression and divide them as directed:

(9x2 – 4) ÷ (3x + 2)

Sum

Solution

We have,

`(9x^2 - 4) ÷ (3x + 2) = (9x^2 - 4)/(3x + 2)`

= `((3x)^2 - (2)^2)/(3x + 2)`

= `((3x + 2)(3x - 2))/(3x + 2)`   ...[∵ a2 – b2 = (a + b)(a – b)]

= 3x – 2

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Chapter 7: Algebraic Expression, Identities and Factorisation - Exercise [Page 236]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 7 Algebraic Expression, Identities and Factorisation
Exercise | Q 96. (iv) | Page 236
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