Multiply:
$ \left(\frac{3}{5} x+\frac{1}{2} y\right) $ by $ \left(\frac{5}{6} x+4 y\right) $

To do:

We have to multiply \( \left(\frac{3}{5} x+\frac{1}{2} y\right) \) by \( \left(\frac{5}{6} x+4 y\right) \)

Solution:

We know that,

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

Therefore,

$(\frac{3}{5} x+\frac{1}{2} y) \times(\frac{5}{6} x+4 y)=\frac{3}{5} x(\frac{5}{6} x+4 y)+\frac{1}{2} y(\frac{5}{6} x+4 y)$

$=\frac{3}{5} x \times \frac{5}{6} x+\frac{3}{5}x \times 4y+\frac{1}{2}y\times \frac{5}{6} x+\frac{1}{2}y \times 4 y$

$=\frac{1}{2} x^{2}+\frac{12}{5} x y+\frac{5}{12} x y+2 y^{2}$

$=\frac{1}{2} x^{2}+\frac{144 x y+25 x y}{60}+2 y^{2}$

$=\frac{1}{2} x^{2}+\frac{169}{60} x y+2 y^{2}$

Tutorialspoint

Simply Easy Learning

Updated on: 10-Oct-2022

21 Views

Kickstart Your Career

Get certified by completing the course

Get Started