Question

2+i/(3-i)(1+2i) state the value of a and b​

Answer 1

Answer:

Where is a and b variable in the question

Answer 2

$\bf \underline \blue{Question : - } \\ \\ \bf \: \frac{2 + i}{(3 - i)(1 + 2i)}$

$\bf \underline \blue{Answer : - } \\ \\ \bf \large \implies \: \frac{2 + i}{(3 - i)( 1 + 2i)} \\ \\ \bf \large \implies \: \frac{(2 + i)}{3 + 6i - i - 2 {i}^{2} } \\ \\ \bf \large \implies \: \frac{2 + i}{3 + 5i - 2( - 1)} \\ \\ \bf \large \implies \: \frac{2 + i}{5 + 5i} \\ \\ \sf \: rationalize \: \: the \: \: denominator : - \\ \\ \bf \large \implies \: \frac{2 + i}{5 + 5i} \times \frac{5 - 5i}{5 - 5i} \\ \\ \bf \large \implies \: \frac{10 - 10i - 5i - {5i}^{2} }{25 - {25i}^{2} } \\ \\ \bf \large \implies \: \frac{10 - 15i + 5}{50} \\ \\ \bf \large \implies \: \frac{15 - 15i}{50} \\ \\ \bf \large \implies \: \frac{15(1 - i)}{50} \\ \\ \bf \large \implies \: \frac{3 - 3i}{10} \\ \\ \bf \large \implies \: \frac{3}{10} - \frac{3}{10} i = a + bi$