This math topic focuses on practicing the polynomial algebra concept of the difference of squares. Specifically, it involves calculating expressions of the form \((a^2 - a) / a\) for given integer values, and finding the result without using a calculator. Each problem presents an expression with different integer bases, asking students to mentally compute this difference of squares and select the correct result from multiple choice options. This serves as an exercise in understanding polynomial identities within the broader context of polynomials and quadratics at an advanced level.

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Polynomial Algebra Difference of Squares - Integers (Square minus Base as Square over Base) to Answer Worksheet

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Polynomial Algebra Difference of Squares - Integers (Square minus Base as Square over Base) to Answer
1
Find the value of this expression without using a calculator
A LaTex expression showing \frac{1,700 to the power of 2 - 1,700}{1,700}
a
1,699
b
3,051
c
2,375
d
2,544
e
685
f
854
2
Find the value of this expression without using a calculator
A LaTex expression showing \frac{1,600 to the power of 2 - 1,600}{1,600}
a
2,394
b
1,599
c
486
d
2,871
e
1,758
f
963
3
Find the value of this expression without using a calculator
A LaTex expression showing \frac{2,000 to the power of 2 - 2,000}{2,000}
a
606
b
407
c
2,198
d
1,999
e
2,596
f
2,795
4
Find the value of this expression without using a calculator
A LaTex expression showing \frac{3,200 to the power of 2 - 3,200}{3,200}
a
1,604
b
2,880
c
1,923
d
328
e
9
f
3,199
5
Find the value of this expression without using a calculator
A LaTex expression showing \frac{2,400 to the power of 2 - 2,400}{2,400}
a
4,311
b
3,833
c
1,204
d
248
e
487
f
2,399
6
Find the value of this expression without using a calculator
A LaTex expression showing \frac{1,800 to the power of 2 - 1,800}{1,800}
a
188
b
1,799
c
1,620
d
367
e
2,515
f
3,231
7
Find the value of this expression without using a calculator
A LaTex expression showing \frac{1,400 to the power of 2 - 1,400}{1,400}
a
426
b
2,233
c
2,650
d
565
e
2,372
f
1,399
8
Find the value of this expression without using a calculator
A LaTex expression showing \frac{1,500 to the power of 2 - 1,500}{1,500}
a
2,095
b
2,393
c
1,499
d
1,648
e
2,542
f
456