What is (2a^2+10a)/(3a^2+15a) ?

The solution to (2a^2+10a)/(3a^2+15a) is 2/3

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simplify (2a^2+10a)/(3a^2+15a)

simplify

\frac{2 a ^{2} + 10 a}{3 a ^{2} + 15 a}

\frac{2}{3}

Decimal

0.66666 \dots

Solution steps

\frac{2 a ^{2} + 10 a}{3 a ^{2} + 15 a}

Factor

2 a^{2} + 10 a : 2 a (a + 5)

= \frac{2 a ( a + 5 )}{3 a ^{2} + 15 a}

Factor

3 a^{2} + 15 a : 3 a (a + 5)

= \frac{2 a ( a + 5 )}{3 a ( a + 5 )}

Cancel the common factor:

a

= \frac{2 ( a + 5 )}{3 ( a + 5 )}

Cancel the common factor:

a + 5

= \frac{2}{3}

\frac{28}{- 4}

- \frac{5}{2} + 2

3 x + 1 \geq 5

x = 2^{- 3}

- 22 = y - 19