Simplify Rational Expressions by Factoring

(F) Determine the sum, difference, product, and quotient of rational expressions with integral exponents of degree one and of degree two

(Y10) Factorise algebraic expressions by taking out a common algebraic factor (ACMNA230)

HSA.APR.6 Rewrite simple rational expressions in different forms; write a(x)/b(x) in the form q(x) + r(x)/b(x), where a(x), b(x), q(x), and r(x) are polynomials with the degree of r(x) less than the degree of b(x), using inspection, long division, or, for the more complicated examples, a computer algebra system.