# Precalculus Examples

Find the Perfect Square Trinomial
Step 1
Factor out the
Step 2
To find the value , divide the coefficient of by and square the result.
Step 2.1
Multiply the numerator by the reciprocal of the denominator.
Step 2.2
Cancel the common factor of .
Step 2.2.1
Factor out of .
Step 2.2.2
Cancel the common factor.
Step 2.2.3
Rewrite the expression.
Step 2.3
Simplify the expression.
Step 2.3.1
Apply the product rule to .
Step 2.3.2
Raise to the power of .
Step 2.3.3
Raise to the power of .
Step 3
Add to get the perfect square trinomial.
Step 4
Simplify.
Step 4.1
Apply the distributive property.
Step 4.2
Simplify.
Step 4.2.1
Cancel the common factor of .
Step 4.2.1.1
Factor out of .
Step 4.2.1.2
Cancel the common factor.
Step 4.2.1.3
Rewrite the expression.
Step 4.2.2
Multiply by .
Step 4.2.3
Cancel the common factor of .
Step 4.2.3.1
Factor out of .
Step 4.2.3.2
Factor out of .
Step 4.2.3.3
Cancel the common factor.
Step 4.2.3.4
Rewrite the expression.
Step 4.2.4
Combine and .
Step 4.2.5
Multiply by .