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

Math
2a2+10a3a2+15a
Cancel the common factor of a2+10a and a2+15a.
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Factor a2+15a out of 2a2+10a.
a2+15a(2a2+10a-(2+15a))3a2+15a
Cancel the common factors.
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Factor a2+15a out of 3a2+15a.
a2+15a(2a2+10a-(2+15a))a2+15a⋅3
Cancel the common factor.
a2+15a(2a2+10a-(2+15a))a2+15a⋅3
Rewrite the expression.
2a2+10a-(2+15a)3
2a2+10a-(2+15a)3
2a2+10a-(2+15a)3
Simplify the numerator.
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Simplify each term.
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Apply the distributive property.
2a2+10a-1⋅2-(15a)3
Multiply -1 by 2.
2a2+10a-2-(15a)3
Multiply 15 by -1.
2a2+10a-2-15a3
2a2+10a-2-15a3
Combine the opposite terms in 2+10a-2-15a.
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Subtract 2 from 2.
2a10a+0-15a3
Add 10a and 0.
2a10a-15a3
2a10a-15a3
Subtract 15a from 10a.
2a-5a3
2a-5a3
Simplify (2a^(2+10a))/(3a^(2+15a))

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