Question

pls help me with this question ​

Answer 1

Answer:

5689/90

Step-by-step explanation:

Answer 2

Question :-

Using the formula of (a + b) (a - b), find $\rm{ \bigg( \frac{3}{2}m + \frac{2}{3} n \bigg) \bigg( \frac{3}{2}m - \frac{2}{3}n \bigg) }$

Step by step explanation :-

Given expression,

$\rm{ \bigg( \frac{3}{2}m + \frac{2}{3} n \bigg) \bigg( \frac{3}{2}m - \frac{2}{3}n \bigg) }$

Also can be written as,

$\rm{ \bigg( \frac{3m}{2} + \frac{2n}{3} \bigg) \bigg( \frac{3m}{2} - \frac{2n}{3} \bigg) }$

Using formula,

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

By using this formula,

$\rm:\longmapsto{\rm{ \bigg( \frac{3m}{2} + \frac{2n}{3} \bigg) \bigg( \frac{3m}{2} - \frac{2n}{3} \bigg) } = \bigg( \frac{3m}{2} \bigg) ^{2} - \bigg( \frac{2n}{3} \bigg) ^{2} } \\ \\ \rm:\longmapsto{\rm{ \bigg( \frac{3m}{2} + \frac{2n}{3} \bigg) \bigg( \frac{3m}{2} - \frac{2n}{3} \bigg) } = \boxed { \rm\frac{9m {}^{2} }{4} - \frac{4n {}^{2} }{9} }} \: \: \: \: \: \: \: \: \: \: \:$

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