Algebra Examples

Solve for A (6k^2-36k)/A*(k^2+12k+36)/(k^2-36)=1
Step 1
Simplify .
Tap for more steps...
Step 1.1
Factor out of .
Tap for more steps...
Step 1.1.1
Factor out of .
Step 1.1.2
Factor out of .
Step 1.1.3
Factor out of .
Step 1.2
Factor using the perfect square rule.
Tap for more steps...
Step 1.2.1
Rewrite as .
Step 1.2.2
Check that the middle term is two times the product of the numbers being squared in the first term and third term.
Step 1.2.3
Rewrite the polynomial.
Step 1.2.4
Factor using the perfect square trinomial rule , where and .
Step 1.3
Simplify the denominator.
Tap for more steps...
Step 1.3.1
Rewrite as .
Step 1.3.2
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Step 1.4
Simplify terms.
Tap for more steps...
Step 1.4.1
Combine.
Step 1.4.2
Cancel the common factor of .
Tap for more steps...
Step 1.4.2.1
Cancel the common factor.
Step 1.4.2.2
Rewrite the expression.
Step 1.4.3
Cancel the common factor of and .
Tap for more steps...
Step 1.4.3.1
Factor out of .
Step 1.4.3.2
Cancel the common factors.
Tap for more steps...
Step 1.4.3.2.1
Factor out of .
Step 1.4.3.2.2
Cancel the common factor.
Step 1.4.3.2.3
Rewrite the expression.
Step 2
Find the LCD of the terms in the equation.
Tap for more steps...
Step 2.1
Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.
Step 2.2
The LCM of one and any expression is the expression.
Step 3
Multiply each term in by to eliminate the fractions.
Tap for more steps...
Step 3.1
Multiply each term in by .
Step 3.2
Simplify the left side.
Tap for more steps...
Step 3.2.1
Cancel the common factor of .
Tap for more steps...
Step 3.2.1.1
Cancel the common factor.
Step 3.2.1.2
Rewrite the expression.
Step 3.2.2
Apply the distributive property.
Step 3.2.3
Multiply by by adding the exponents.
Tap for more steps...
Step 3.2.3.1
Move .
Step 3.2.3.2
Multiply by .
Step 3.2.4
Multiply by .
Step 3.3
Simplify the right side.
Tap for more steps...
Step 3.3.1
Multiply by .
Step 4
Rewrite the equation as .