Cubic, Square Root and Rational Functions. Factor Cubics. Radical Expressions & Equations. Rational Expressions & Equations. How do we factor cubics?. How do we simplify radical expressions?. How do we add, subtract, multiply, divide and simplify rational expressions?.
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Radical Expressions & Equations
Rational Expressions & Equations
How do we factor cubics?
How do we simplify radical expressions?
How do we add, subtract, multiply, divide and simplify rational expressions?
Product Property of Radicals:
Quotient Property of Radicals:
Special Product Patterns:
(x + y)3 = x3 + 3x2y + 3xy2 + y2
(x − y)3 = x3 − 3x2y + 3xy2 − y2
Factor Out a Monomial GCF:
2x3 − 6x2y + 6xy2 − 2y2
= 2(x3 − 3x2y + 3xy2 − y2)
=2(x – y)3
a3b3 + 12a2b2 + 4ab +64
= (ab + 4)3
How do we solve rational equations?
How do we solve radical equations?
FACTOR: SIMPLIFY: SOLVE: SIMPLIFY: SOLVE:
8x3 + 12x2y +6xy2 + y3