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9:
-q^2 - r^2 + 3s

-9^2 - -6^2 + 3(-20)

-9^2 = -9 * -9 = 81

81 - -6^2 + 3(-20)

-6^2 = -6 * -6 = 36

81 - 36 + 3(-20)

3(-20) = -60

81 - 36 + -60

81 + 36 = 117

117 + (-60)

117 - 60= 57

57

10:
3| x + y |^2 - (xy)^2

3| 3 + -5 |^2 - (3-5)^2

(3-5) = 2

3| 3 + -5 |^2 - 2^2

|3 + -5| = 8

3|8|^2 - 2^2

8 * 8 = 64

3(64) - 2^2

2^2 = 2*2 = 4

3(64) - 4

3*64 = 192

192 - 4 = 188

188

11:
2x^2 - 5xy - y^3

2(-3)^2 - 5(-3-2) - -2^3

(-3-2) = -5

2(-3)^2 - 5(-5) - -2^3

-3^2 = -3 * -3 = -9

2(-9) - 5(-5) - -2^3

2^3 = 2 * 2 * 2 = 8

2(-9) - 5(-5) - 8

18 - 5(-5) - 8

5(-5) = -25

18 - (-25) - 8

18 + 25 - 8

18 + 25 = 43

43 - 8 = 35

35

12: -a^2 + 7b^4 -2c^3

—4^2 + 7(-2)^4 - 2(-3)^3

4^2 + 7(-2)^4 - 2(-3)^3

4 * 4 = 16

16 + 7(-2)^4 - 2(-3)^3

-2 * -2 * -2 * -2 = 16

16 + 7(16) - 2(-3)^3

-3 * -3 * -3 = -27

16 + 7(16) - 2(-27)

7 * 16 = 112

16 + 112 - 2(-27)

2 * -27 = -54

16 + 112 - -54

16 + 112 + 54

112 + 16 = 128

128 + 54 = 182

182

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