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Elementary and Intermediate Algebra
Mark Dugopolski, Southeastern Louisiana University

Polynomials and Exponents
Special Products

Warm-Ups



1

(2 + 3)2 = 22 + 32
A)TRUE
B)FALSE
2

(x + 3)2 = x2 + 6x + 9 for any value of x.
A)TRUE
B)FALSE
3

(3 + 5)2 = 9 + 25 + 30
A)TRUE
B)FALSE
4

(2x + 7)2 = 4x2 + 28x + 49 for any value of x.
A)TRUE
B)FALSE
5

(y + 8)2 = y2 + 64 for any value of y.
A)TRUE
B)FALSE
6

The product of a sum and a difference of the same two terms is equal to the difference of two squares.
A)TRUE
B)FALSE
7

(40 - 1)(40 - 1) = 1599
A)TRUE
B)FALSE
8

49 · 51 = 2499
A)TRUE
B)FALSE
9

(x - 3)2 = x2 - 3x + 9 for any value of x.
A)TRUE
B)FALSE
10

The square of a sum is equal to a sum of two squares.
A)TRUE
B)FALSE