This math topic focuses on practicing the algebraic skill of calculating the difference of squares, specifically involving operations where one integers' power is zero (interpreted as 1). The problems involve evaluating complex fractional expressions without a calculator, where each fraction has a numerator calculated as the difference between a squared term and one, divided by a closely related integer in the denominator. This is a component of an advanced polynomials and quadratics unit. Each question provides a set of multiple-choice answers, requiring a precise calculation and understanding of polynomial algebra principles.

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Polynomial Algebra Difference of Squares - Integers (Power Zero as 1) to Answer Worksheet

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Polynomial Algebra Difference of Squares - Integers (Power Zero as 1) to Answer
1
Find the value of this expression without using a calculator
A LaTex expression showing \frac{3,900 to the power of 2 - 3,899 to the power of 0 }{3,899 to the power of 1 }
a
4,681
b
3,121
c
3,511
d
6,631
e
6,241
f
3,901
2
Find the value of this expression without using a calculator
A LaTex expression showing \frac{2,800 to the power of 2 - 2,799 to the power of 0 }{2,801 to the power of 1 }
a
3,915
b
2,799
c
9
d
1,962
e
2,241
f
1,683
3
Find the value of this expression without using a calculator
A LaTex expression showing \frac{5,800 to the power of 2 - 5,799 to the power of 0 }{5,801 to the power of 1 }
a
2,904
b
9,273
c
5,220
d
4,641
e
5,799
f
11,010
4
Find the value of this expression without using a calculator
A LaTex expression showing \frac{5,000 to the power of 2 - 5,001 to the power of 0 }{5,001 to the power of 1 }
a
1,007
b
4,999
c
7,494
d
3,502
e
2,005
f
8,991
5
Find the value of this expression without using a calculator
A LaTex expression showing \frac{3,000 to the power of 2 - 3,001 to the power of 0 }{3,001 to the power of 1 }
a
1,205
b
4,494
c
2,999
d
2,700
e
2,102
f
5,391
6
Find the value of this expression without using a calculator
A LaTex expression showing \frac{4,100 to the power of 2 - 4,101 to the power of 0 }{4,101 to the power of 1 }
a
4,099
b
3,281
c
7,780
d
4,508
e
6,962
f
4,917
7
Find the value of this expression without using a calculator
A LaTex expression showing \frac{4,600 to the power of 2 - 4,601 to the power of 0 }{4,601 to the power of 1 }
a
4,599
b
9
c
1,845
d
2,763
e
4,140
f
7,812
8
Find the value of this expression without using a calculator
A LaTex expression showing \frac{3,600 to the power of 2 - 3,599 to the power of 0 }{3,601 to the power of 1 }
a
3,599
b
4,676
c
6,830
d
4,317
e
1,445
f
3,958