Unit 6  Objective 1  Special Products
Some special products you will see:
common factor  a (x + y) = ax + ay 
difference of two squares  (x + y)(x  y) = x^{2}  y^{2} 
perfect square  (x + y)^{2} = (x + y)(x + y) = x^{2} + 2xy + y^{2} 
"  (x  y)^{2} = (x  y)(x  y) = x^{2}  2xy + y^{2} 
general product  (x + a)(x + b) = x^{2} + (a + b) x + ab 
perfect cube  (x + y)^{3} = (x + y)(x + y)(x + y) = x^{3} + 3x^{2}y + 3xy^{2} + y^{3} 
"  (x  y)^{3} = (x  y)(x  y)(x  y) = x^{3}  3x^{2}y + 3xy^{2}  y^{3} 
sum of two cubes  (x + y)(x^{2}  xy + y^{2}) = x^{3} + y^{3} 
difference of two cubes  (x  y)(x^{2} + xy + y^{2}) = x^{3}  y^{3} 
Examples:

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