   Chapter 8.1, Problem 45E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

The algebra method of FOIL multiplication is illustrated geometrically in the drawing. Use the drawing with rectangular regions to complete the following rule: ( a + b ) ( c + d ) = _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ To determine

To complete:

(a+b)(c+d)=_ by the algebra method of FOIL multiplication is illustrated geometrically in the drawing.

Explanation

The area of the rectangle A=lw unit2.

Where l is the length of the rectangle, w is the width of the rectangle.

Multiplication of the terms is followed by the FOIL method,

Calculation:

Given,

By the drawing which is a rectangle whose length l=(a+b) and width w=(c+d)

The area of the rectangle =lw unit2.

(i.e.) A=(a+b)(c+d)

By the FOIL method,

=ac+

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