Question

Simplify : (4/3 - 2/2)(4/3 +2/2)​

Answer 1

We can use identity

$\boxed{ \red{ \sf(x - y)(x + y) = {x}^{2} + {y}^{2} }}$

So solution will be

$[ \frac{4}{3} - \frac{2}{2} ][ \frac{4}{3} + \frac{2}{2} ] = { \frac{4}{3} }^{2} - { \frac{2}{2} }^{2} \\ = \frac{16}{9} - 1 \\ = \frac{16 - 9}{9} \\ = \frac{7}{9}$

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