Factor-3/4 out of 3/2x-9/4y

Question

asked May 8, 2020 102k views

1 Answer

Grettke · Answer 1 · 2020-05-14T19:14:42+0000

For this case we must factor
$- \frac {3} {4}$ of the following expression:

$\frac {3} {2} x- \frac {9} {4}y$

By law of signs of multiplication it is fulfilled that:

$- * - = +\\- * + = -$

So we have to:

$- \frac {3} {4} * (- 2) = + \frac {6} {4} = + \frac {3} {2}\\- \frac {3} {4} * 3 = - \frac {9} {4}$

Thus, by factoring we have:

$- \frac {3} {4} (- 2x + 3y)$

Answer:

$- \frac {3} {4} (- 2x + 3y)$