Question

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Find the product of the following binomials.

$a) \: (2a + \frac{3}{b} ) \: (2a - \frac{3}{b} )$
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Answer 1

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$↬(2a+ \frac{3}{b} )(2a− \frac{3}{b} )$

$↬ ({2a})^{2} - ({ \frac{3}{b} })^{2}$

$↬4 {a}^{2} - \frac{9}{ {b}^{2} }$

Note:

$☎ \: \: ( a + b)(a - b) = {a}^{2} - {b}^{2}$

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Answer 2

Answer:

(2a+

b

3

)(2a−

b

3

)

\begin{gathered}↬ ({2a})^{2} - ({ \frac{3}{b} })^{2} \\ \end{gathered}

↬(2a)

2

−(

b

3

)

2

\begin{gathered}↬4 {a}^{2} - \frac{9}{ {b}^{2} } \\ \end{gathered}

↬4a

2

−

b

2

9