What is (21v^2+24v)/(6v) ?

The solution to (21v^2+24v)/(6v) is (7v+8)/2

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simplify (21v^2+24v)/(6v)

simplify

\frac{21 v ^{2} + 24 v}{6 v}

\frac{7 v + 8}{2}

Solution steps

\frac{21 v ^{2} + 24 v}{6 v}

Factor

21 v^{2} + 24 v : 3 v (7 v + 8)

= \frac{3 v ( 7 v + 8 )}{6 v}

Cancel the common factor:

v

= \frac{3 ( 7 v + 8 )}{6}

Factor the number:

6 = 3 \cdot 2

= \frac{3 ( 7 v + 8 )}{3 \cdot 2}

Cancel the common factor:

3

= \frac{7 v + 8}{2}

16 x^{2} - 8 x y + y^{2}

- 7 \times 9

1 + \frac{2}{9}

4 u - 6 u

2 x^{2} (x^{2})