Pre-Algebra Examples

Divide ((x^2-49)/(x^2-12x+36))÷((4x-28)/(x^2-5x-6))
Step 1
To divide by a fraction, multiply by its reciprocal.
Step 2
Simplify the numerator.
Tap for more steps...
Step 2.1
Rewrite as .
Step 2.2
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Step 3
Factor using the perfect square rule.
Tap for more steps...
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
Factor using the AC method.
Tap for more steps...
Step 4.1
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 4.2
Write the factored form using these integers.
Step 5
Factor out of .
Tap for more steps...
Step 5.1
Factor out of .
Step 5.2
Factor out of .
Step 5.3
Factor out of .
Step 6
Combine.
Step 7
Cancel the common factor of .
Tap for more steps...
Step 7.1
Cancel the common factor.
Step 7.2
Rewrite the expression.
Step 8
Cancel the common factor of and .
Tap for more steps...
Step 8.1
Factor out of .
Step 8.2
Cancel the common factors.
Tap for more steps...
Step 8.2.1
Factor out of .
Step 8.2.2
Cancel the common factor.
Step 8.2.3
Rewrite the expression.
Step 9
Move to the left of .