# Write the Following Square of Binomial as Trinomial: ( 3 X − 1 3 X ) 2 - Mathematics

Write the following square of binomial as trinomial:  $\left( 3x - \frac{1}{3x} \right)^2$

#### Solution

We will use the identities

$\left( a + b \right)^2 = a^2 + 2ab + b^2 \text { and } \left( a - b \right)^2 = a^2 - 2ab + b^2$ to convert the squares of binomials as trinomials.

$\left( 3x - \frac{1}{3x} \right)^2$

$= \left( 3x \right)^2 - 2\left( 3x \right)\left( \frac{1}{3x} \right) + \left( \frac{1}{3x} \right)^2$

$= 9 x^2 - 2 + \frac{1}{9 x^2}$

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#### APPEARS IN

RD Sharma Class 8 Maths
Chapter 6 Algebraic Expressions and Identities
Exercise 6.6 | Q 1.07 | Page 43