When working with quadratics, we often use the identity a^2-b^2=(a+b)(a-b) to factor quadratic expressions of such a form. Using what you've learned about rationalizing denominators and complex conjugates, find and prove identities to easily factor expressions of these forms: a. a^2+b^2

b. a^2-b

Hint: your factored forms may look very similar to the factored form of a^2-b^2