Multiply:
$ \left(\frac{x}{7}+\frac{x^{2}}{2}\right) $ by $ \left(\frac{2}{5}+\frac{9 x}{4}\right) $

To do:

We have to multiply \( \left(\frac{x}{7}+\frac{x^{2}}{2}\right) \) by \( \left(\frac{2}{5}+\frac{9 x}{4}\right) \)

Solution:

We know that,

$(a+b)\times(c+d)=a(c+d)+b(c+d)$

Therefore,

$(\frac{x}{7}+\frac{x^{2}}{2}) \times(\frac{2}{5}+\frac{9 x}{4})=\frac{x}{7}(\frac{2}{5}+\frac{9 x}{4})+\frac{x^{2}}{2}(\frac{2}{5}+\frac{9 x}{4})$

$=\frac{2 x}{35}+\frac{9}{28} x^{2}+\frac{x^{2}}{5}+\frac{9 x^{3}}{8}$

$=\frac{2}{35} x+\frac{45 x^{2}+28 x^{2}}{140}+\frac{9 x^{3}}{8}$

$=\frac{2}{35} x+\frac{73}{140} x^{2}+\frac{9}{8} x^{3}$

$=\frac{9}{8} x^{3}+\frac{73}{140} x^{2}+\frac{2}{35} x$

Tutorialspoint

Simply Easy Learning

Updated on: 10-Oct-2022

25 Views

Kickstart Your Career

Get certified by completing the course

Get Started