Fundamental Concepts

82. The Area of a Product · Visualizing monomial multiplication

The area of the rectangle always equals the product of its side lengths a and b.

a = 250a = 250b = 100b = 100Area = 25000Area = 25000AB
Multiplication of monomials: multiply the coefficients and add the exponents of like variables — (3x²)(4x³) = 12x⁵. Geometrically, a × b is the area of an a-by-b rectangle.
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