Basic Math Examples

Solve for b 39=(a+b)(a-b)
Step 1
Rewrite the equation as .
Step 2
Simplify .
Tap for more steps...
Step 2.1
Expand using the FOIL Method.
Tap for more steps...
Step 2.1.1
Apply the distributive property.
Step 2.1.2
Apply the distributive property.
Step 2.1.3
Apply the distributive property.
Step 2.2
Simplify terms.
Tap for more steps...
Step 2.2.1
Combine the opposite terms in .
Tap for more steps...
Step 2.2.1.1
Reorder the factors in the terms and .
Step 2.2.1.2
Add and .
Step 2.2.1.3
Add and .
Step 2.2.2
Simplify each term.
Tap for more steps...
Step 2.2.2.1
Multiply by .
Step 2.2.2.2
Rewrite using the commutative property of multiplication.
Step 2.2.2.3
Multiply by by adding the exponents.
Tap for more steps...
Step 2.2.2.3.1
Move .
Step 2.2.2.3.2
Multiply by .
Step 3
Subtract from both sides of the equation.
Step 4
Divide each term in by and simplify.
Tap for more steps...
Step 4.1
Divide each term in by .
Step 4.2
Simplify the left side.
Tap for more steps...
Step 4.2.1
Dividing two negative values results in a positive value.
Step 4.2.2
Divide by .
Step 4.3
Simplify the right side.
Tap for more steps...
Step 4.3.1
Simplify each term.
Tap for more steps...
Step 4.3.1.1
Divide by .
Step 4.3.1.2
Dividing two negative values results in a positive value.
Step 4.3.1.3
Divide by .
Step 5
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
Step 6
The complete solution is the result of both the positive and negative portions of the solution.
Tap for more steps...
Step 6.1
First, use the positive value of the to find the first solution.
Step 6.2
Next, use the negative value of the to find the second solution.
Step 6.3
The complete solution is the result of both the positive and negative portions of the solution.