What is (4a^2+12a)/(8a^2) ?

The solution to (4a^2+12a)/(8a^2) is (a+3)/(2a)

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simplify (4a^2+12a)/(8a^2)

simplify

\frac{4 a ^{2} + 12 a}{8 a ^{2}}

\frac{a + 3}{2 a}

Solution steps

\frac{4 a ^{2} + 12 a}{8 a ^{2}}

Factor

4 a^{2} + 12 a : 4 a (a + 3)

= \frac{4 a ( a + 3 )}{8 a ^{2}}

Factor the number:

8 = 4 \cdot 2

= \frac{4 a ( a + 3 )}{4 \cdot 2 a ^{2}}

Cancel the common factor:

4

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

Apply exponent rule:

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

a^{2} = aa

= \frac{a ( a + 3 )}{2 aa}

Cancel the common factor:

a

= \frac{a + 3}{2 a}

\frac{64}{7}

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

\frac{x + 2}{x + 3} - \frac{x - 6}{x}

(- 8) (- 7)

\frac{3 u ^{5}}{2 ( u ^{5} ) ^{5}}