What is (2a^2+2ab)/(3a^2b) ?

The solution to (2a^2+2ab)/(3a^2b) is (2(a+b))/(3ab)

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simplify (2a^2+2ab)/(3a^2b)

simplify

\frac{2 a ^{2} + 2 ab}{3 a ^{2} b}

\frac{2 ( a + b )}{3 ab}

Solution steps

\frac{2 a ^{2} + 2 ab}{3 a ^{2} b}

Factor

2 a^{2} + 2 ab : 2 a (a + b)

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

Apply exponent rule:

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

a^{2} = aa

= \frac{2 a ( a + b )}{3 aab}

Cancel the common factor:

a

= \frac{2 ( a + b )}{3 ab}

2 (x + 7) \leq 16

21 x^{2} + 14 x

\frac{3}{8} + \frac{1}{5} - \frac{3}{4}

- 4 < \frac{- 3 x + 2}{- 3} < 4

- \frac{1}{2} + 3

What is (2a^2+2ab)/(3a^2b) ?
The solution to (2a^2+2ab)/(3a^2b) is (2(a+b))/(3ab)