What is (6a^2+21a)/(3a^2) ?

The solution to (6a^2+21a)/(3a^2) is (2a+7)/a

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simplify (6a^2+21a)/(3a^2)

simplify

\frac{6 a ^{2} + 21 a}{3 a ^{2}}

\frac{2 a + 7}{a}

Solution steps

\frac{6 a ^{2} + 21 a}{3 a ^{2}}

Factor

6 a^{2} + 21 a : 3 a (2 a + 7)

= \frac{3 a ( 2 a + 7 )}{3 a ^{2}}

Cancel the common factor:

3

= \frac{a ( 2 a + 7 )}{a ^{2}}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

a^{2} = aa

= \frac{a ( 2 a + 7 )}{aa}

Cancel the common factor:

a

= \frac{2 a + 7}{a}

- 2 \leq x < 3

- \frac{1}{2} + \frac{3}{4}

5 x^{2} - 14 x + 9

\frac{2}{7} + \frac{11}{8} \cdot (\frac{13}{7} + 1)

49 x^{2} = 25