7.
Find the value of each of the following
expressions when x = -1, y = -2 and z = 2.
(a) -2x (3x - 4y) + 2y (6y - 9z) + 2z (4z - x)
(b) 7 (x - y - z²) - 2 (z - x²)
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Answer:
(a) 166
(b) -23
Step-by-step explanation:
(a) -2(-1)[3(-1)-4(-2)] + 2(-2)[6(-2) - 9(2)] + 2(2)[4(2)-(-1)]
= 2[-3+8] + (-4)[-12-18] + 4[8+1]
= 2×5 + (-4)×(-30) + 4×9
= 10 + 120 + 36 = 166
(b) 7[-1-(-2)-2^2] - 2[2-(-1)^2]
= 7[-1+2-4] - 2[2-1]
= 7×-3 - 2×1 = -21-2 = -23
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