This math topic focuses on practicing polynomial algebra specific to the difference of squares with integers. The format involves calculating expressions in the form \(\frac{a^2 - b^2}{a}\) without using a calculator. Each question provides an expression based on this algebraic concept and multiple-choice answers. The broader context of these problems is Polynomials and Quadratics at an advanced level. The exercise is designed to enhance algebraic manipulation skills, particularly involving the difference of squares formula and simplification techniques.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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

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Polynomial Algebra Difference of Squares - Integers (Square minus Base over Base) to Answer
1
Find the value of this expression without using a calculator
A LaTex expression showing \frac{169 to the power of 2 - 13 to the power of 2 }{169}
a
248
b
168
c
40
d
232
e
56
f
104
2
Find the value of this expression without using a calculator
A LaTex expression showing \frac{144 to the power of 2 - 12 to the power of 2 }{144}
a
115
b
101
c
255
d
241
e
143
f
45
3
Find the value of this expression without using a calculator
A LaTex expression showing \frac{196 to the power of 2 - 14 to the power of 2 }{196}
a
271
b
24
c
81
d
195
e
43
f
328
4
Find the value of this expression without using a calculator
A LaTex expression showing \frac{64 to the power of 2 - 8 to the power of 2 }{64}
a
39
b
63
c
9
d
15
e
57
f
93
5
Find the value of this expression without using a calculator
A LaTex expression showing \frac{225 to the power of 2 - 15 to the power of 2 }{225}
a
268
b
356
c
312
d
224
e
378
f
246
6
Find the value of this expression without using a calculator
A LaTex expression showing \frac{81 to the power of 2 - 9 to the power of 2 }{81}
a
80
b
72
c
24
d
40
e
144
f
64
7
Find the value of this expression without using a calculator
A LaTex expression showing \frac{100 to the power of 2 - 10 to the power of 2 }{100}
a
27
b
81
c
54
d
162
e
171
f
99
8
Find the value of this expression without using a calculator
A LaTex expression showing \frac{49 to the power of 2 - 7 to the power of 2 }{49}
a
32
b
16
c
48
d
52
e
24
f
76