The figure shows four purple rectangles that fit together to form a large square. -A + B- B -A- A + B a. Express the area of the large square in terms of one of its sides, A + B. b. Write an expression for the area of each of the four rectangles that form the large square. c. Use the sum of the areas from part (b) to write a second expression for the area of the large square. d. Set the expression from part (c) equal to the expression from part (a). What factoring technique have you established?

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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The figure shows four purple rectangles that fit together to
form a large square.
-A + B-
B
-A-
A + B
a. Express the area of the large square in terms of one of its
sides, A + B.
b. Write an expression for the area of each of the four
rectangles that form the large square.
c. Use the sum of the areas from part (b) to write a second
expression for the area of the large square.
d. Set the expression from part (c) equal to the expression
from part (a). What factoring technique have you
established?
Transcribed Image Text:The figure shows four purple rectangles that fit together to form a large square. -A + B- B -A- A + B a. Express the area of the large square in terms of one of its sides, A + B. b. Write an expression for the area of each of the four rectangles that form the large square. c. Use the sum of the areas from part (b) to write a second expression for the area of the large square. d. Set the expression from part (c) equal to the expression from part (a). What factoring technique have you established?
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