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Vocabulary flashcards covering the main identities for special product formulas and factoring from the lecture notes.
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(A + B)(A - B)
Equals A^2 - B^2;
(A + B)^2
Expands to A^2 + 2AB + B^2;
(A - B)^2
Expands to A^2 - 2AB + B^2; .
(A + B)^3
Expands to A^3 + 3A^2B + 3AB^2 + B^3;
(A - B)^3
Expands to A^3 - 3A^2B + 3AB^2 - B^3;
A^2 - B^2
factors to (A + B)(A - B).
A^2 + 2AB + B^2
equals (A + B)^2.
A^2 - 2AB + B^2
equals (A - B)^2.
A^3 - B^3
factors to (A - B)(A^2 + AB + B^2).
A^3 + B^3
; factors to (A + B)(A^2 - AB + B^2).