How do find the quotient of $(6 x + 9) \div (2 x + 3)$ $(6x + 9) div (2x + 3)$ ?

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Answer 1 · 2015-10-28T13:34:59

3

There are two methods that I know of.

One from the old school is to conduct long division. As far as I can ascertain this site's formatting capabilities would make that hard to present.

The other is to factorise and see if we can cancel out.

Lets try the latter:

Write as:

$\frac{6 x + 9}{2 x + 3}$ $(6x+9)/(2x+3)$

But $6 x + 9 = 3 (2 x + 3)$ $6x+9 = 3(2x+3)$

Substitute giving:

$\frac{3 (2 x + 3)}{2 x + 3}$ $(3(2x+3))/(2x+3)$

$3 \times \frac{2 x + 3}{2 x + 3}$ $3 times (2x+3)/(2x+3)$

but

$\frac{2 x + 3}{2 x + 3} = 1$ $(2x+3)/(2x+3) =1$

leaving just 3 as the answer

How do find the quotient of (6x+9)÷(2x+3) (6x + 9) div (2x + 3)?