Question

Express the product of ( 1/4x−6 ) and ( 4/3x-5/4 ) as a trinomial in simplest form.

Answer 1

$( \frac{1}{4} x - 6)( \frac{4}{3} x - \frac{5}{4} )$

$\frac{1}{4} x( \frac{4}{3} x - \frac{5}{4} ) - 6( \frac{4}{3} x - \frac{5}{4} )$

$\frac{4}{12} {x}^{2} - \frac{5}{16} - \frac{24}{3} x - \frac{30}{4}$

$\frac{1}{3} {x}^{2} - \frac{5}{16} - 8x - \frac{30}{4}$

$\frac{1}{3x {}^{2} } - 8x - ( \frac{5}{16} + \frac{120}{16} )$

$\frac{1}{3x {}^{2} } - 8x - \frac{125}{16}$