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Pre-Algebra Examples
Step 1
To divide by a fraction, multiply by its reciprocal.
Step 2
To divide by a fraction, multiply by its reciprocal.
Step 3
Step 3.1
Rewrite as .
Step 3.2
Check that the middle term is two times the product of the numbers being squared in the first term and third term.
Step 3.3
Rewrite the polynomial.
Step 3.4
Factor using the perfect square trinomial rule , where and .
Step 4
Step 4.1
Rewrite as .
Step 4.2
Check that the middle term is two times the product of the numbers being squared in the first term and third term.
Step 4.3
Rewrite the polynomial.
Step 4.4
Factor using the perfect square trinomial rule , where and .
Step 5
Step 5.1
Factor out of .
Step 5.1.1
Factor out of .
Step 5.1.2
Factor out of .
Step 5.1.3
Factor out of .
Step 5.2
Cancel the common factor of .
Step 5.2.1
Factor out of .
Step 5.2.2
Factor out of .
Step 5.2.3
Cancel the common factor.
Step 5.2.4
Rewrite the expression.
Step 5.3
Multiply by .
Step 6
Step 6.1
Consider the form . Find a pair of integers whose product is and whose sum is . In this case, whose product is and whose sum is .
Step 6.2
Write the factored form using these integers.
Step 7
Step 7.1
Cancel the common factor of .
Step 7.1.1
Cancel the common factor.
Step 7.1.2
Rewrite the expression.
Step 7.2
Multiply by .
Step 8
Raise to the power of .
Step 9
Use the power rule to combine exponents.
Step 10
Add and .