,

Replace all occurrences of in with .

Simplify .

Simplify each term.

Rewrite as .

Expand using the FOIL Method.

Apply the distributive property.

Apply the distributive property.

Apply the distributive property.

Simplify and combine like terms.

Simplify each term.

Multiply by .

Move to the left of .

Multiply by .

Add and .

Add and .

Subtract from both sides of the equation.

Subtract from .

Factor the left side of the equation.

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Factor.

Factor using the AC method.

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 .

Write the factored form using these integers.

Remove unnecessary parentheses.

If any individual factor on the left side of the equation is equal to , the entire expression will be equal to .

Set equal to and solve for .

Set equal to .

Add to both sides of the equation.

Set equal to and solve for .

Set equal to .

Subtract from both sides of the equation.

The final solution is all the values that make true.

Replace all occurrences of in with .

Add and .

Replace all occurrences of in with .

Add and .

The solution to the system is the complete set of ordered pairs that are valid solutions.

The result can be shown in multiple forms.

Point Form:

Equation Form:

Solve by Substitution x^2+y^2=100 , y=x+2