Precalculus Examples

Find the Perfect Square Trinomial
Factor out the
To find the value , divide the coefficient of by and square the result.
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Multiply the numerator by the reciprocal of the denominator.
Cancel the common factor of .
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Factor out the greatest common factor .
Cancel the common factor.
Rewrite the expression.
Multiply and to get .
Simplify the expression.
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Apply the product rule to .
One to any power is one.
Raise to the power of to get .
Add to get the perfect square trinomial.
Simplify.
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Apply the distributive property.
Simplify.
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Cancel the common factor of .
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Write as a fraction with denominator .
Factor out the greatest common factor .
Cancel the common factor.
Rewrite the expression.
Simplify.
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Multiply and to get .
Divide by to get .
Cancel the common factor of .
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Write as a fraction with denominator .
Factor out the greatest common factor .
Cancel the common factor.
Rewrite the expression.
Multiply and to get .
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