Trigonometry Examples

Simplify (15x-10x^2)/(4x^2+4x+1)*(4x^2+8+3)/(4x^2-9)
Step 1
Factor out of .
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Step 1.1
Factor out of .
Step 1.2
Factor out of .
Step 1.3
Factor out of .
Step 2
Factor using the perfect square rule.
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Step 2.1
Rewrite as .
Step 2.2
Rewrite as .
Step 2.3
Check that the middle term is two times the product of the numbers being squared in the first term and third term.
Step 2.4
Rewrite the polynomial.
Step 2.5
Factor using the perfect square trinomial rule , where and .
Step 3
Add and .
Step 4
Simplify the denominator.
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Step 4.1
Rewrite as .
Step 4.2
Rewrite as .
Step 4.3
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Step 5
Simplify terms.
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Step 5.1
Multiply by .
Step 5.2
Cancel the common factor of and .
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Step 5.2.1
Rewrite as .
Step 5.2.2
Factor out of .
Step 5.2.3
Factor out of .
Step 5.2.4
Reorder terms.
Step 5.2.5
Cancel the common factor.
Step 5.2.6
Rewrite the expression.
Step 5.3
Simplify the expression.
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Step 5.3.1
Multiply by .
Step 5.3.2
Move the negative in front of the fraction.