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Elementary and Intermediate Algebra
Mark Dugopolski, Southeastern Louisiana University
Polynomials and Exponents
Special Products
Warm-Ups
1
(2 + 3)
2
= 2
2
+ 3
2
A)
TRUE
B)
FALSE
2
(x + 3)
2
= x
2
+ 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
= 4x
2
+ 28x + 49 for any value of x.
A)
TRUE
B)
FALSE
5
(y + 8)
2
= y
2
+ 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
= x
2
- 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
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