Finite Math Examples

Simplify (x+4)/(5x+15)*(x^2+6x+9)/(x^2-16)*(15x^2-30x)/(2x^5)
Step 1
Simplify with factoring out.
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Step 1.1
Factor out of .
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Step 1.1.1
Factor out of .
Step 1.1.2
Factor out of .
Step 1.1.3
Factor out of .
Step 1.2
Factor out of .
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Step 1.2.1
Factor out of .
Step 1.2.2
Factor out of .
Step 1.2.3
Factor out of .
Step 2
Factor using the perfect square rule.
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Step 2.1
Rewrite as .
Step 2.2
Check that the middle term is two times the product of the numbers being squared in the first term and third term.
Step 2.3
Rewrite the polynomial.
Step 2.4
Factor using the perfect square trinomial rule , where and .
Step 3
Simplify the denominator.
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Step 3.1
Rewrite as .
Step 3.2
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Step 4
Simplify terms.
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Step 4.1
Cancel the common factor of .
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Step 4.1.1
Cancel the common factor.
Step 4.1.2
Rewrite the expression.
Step 4.2
Cancel the common factor of .
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Step 4.2.1
Factor out of .
Step 4.2.2
Factor out of .
Step 4.2.3
Cancel the common factor.
Step 4.2.4
Rewrite the expression.
Step 4.3
Multiply by .
Step 4.4
Cancel the common factor of .
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Step 4.4.1
Factor out of .
Step 4.4.2
Cancel the common factor.
Step 4.4.3
Rewrite the expression.
Step 4.5
Multiply by .
Step 4.6
Cancel the common factor of and .
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Step 4.6.1
Factor out of .
Step 4.6.2
Cancel the common factors.
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Step 4.6.2.1
Factor out of .
Step 4.6.2.2
Cancel the common factor.
Step 4.6.2.3
Rewrite the expression.
Step 4.7
Simplify the expression.
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Step 4.7.1
Move to the left of .
Step 4.7.2
Move to the left of .
Step 4.7.3
Reorder factors in .