Question

(z/3+1/2) (z/3+3/2)​

Answer 1

Step-by-step explanation:

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Answer 2

Given :

$\implies \sf\bigg( \: \frac{z}{3} + \frac{1}{2} \: \bigg) \: \bigg( \: \frac{z}{3} + \frac{3}{2} \: \bigg)$

Formul Used :

$\sf \implies(x + a)(x + b) = {x}^{2} + (a + b)x + ab$

Calculation :

$\implies \sf\bigg( \: \frac{z}{3} + \frac{1}{2} \: \bigg) \: \bigg( \: \frac{z}{3} + \frac{3}{2} \: \bigg) \\ \\ \sf \implies { \bigg(\frac{z}{3} \bigg ) }^{2} + \bigg( \frac{1}{2} + \frac{3}{2} \bigg) \frac{z}{3} + \frac{1}{2} \times \frac{3}{2} \\ \\ \sf \implies \frac{ {z}^{2} }{9} + \frac{4}{2} \times \frac{z}{3} + \frac{3}{4} \\ \\ \sf \implies \frac{ {z}^{2} }{9} + \frac{2z}{3} + \frac{3}{4} \\ \\ \sf \implies \frac {4z^2 + 24z + 27 }{36}$