Analyzing Patterns when Multiplying Polynomials. Carol A. Marinas, Ph.D. Using the Distributive Property. When multiplying terms together, use the distributive property and then simplify. Example: (x + 4) ( x + 3) = x (x + 3) + 4 (x + 3)
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Carol A. Marinas, Ph.D.
x (x + 3) + 4 (x + 3)
=(x2 + 3x) + (4x + 12) = x2 + 7x + 12
(x + 2) (x - 2) =
x (x - 2) + 2 (x- 2)=
(x2-2x) + (2x - 4)
= x2 - 4
(a - b) ( a + b)
(a + b) ( a - b)
= a2 - b2Pattern Recognition:Sum and Difference of the same 2 terms
To Make Your Multiplying Easier