University:
Alcorn State University
Course:
EN 213 | Studies in Literature
Academic year:

2022
Views:

443

Pages:

2
Author:

StellarSymphony

Complex Numbers (multiply) Simplify: (9i)^2 = 9^2 * i^2 = 9 * (-1) = -9 (-2i)(2i)(8i) = -32i^3 = -32(-i) = 32i (5i)(-8i) = -40i^2 = -40(-1) = 40 7(-6-3i) = -42 - 21i (2-7i)(1+3i) = 2 + 6i - 7i - 21i^2 = 23 - i (8-7i)(-2+6i) = 16 - 48i + 14i - 42i^2 = 58 - 34i (3+5i)^2 = (3+5i)(3+5i) = 9 + 15i + 15i + 25i^2 = 19 + 30i (2-3i)^2 = (2-3i)(2-3i) = 4 - 6i - 6i + 9i^2 = -5 - 12i -7i(-2+2i) = 14i - 14i^2 = 14 + 14i (2+5i)(3-2i) = 6 - 4i + 15i - 10i^2 = 16 + 11i Simplify each expression. (-2-8i) + (-5+4i) = -2 - 8i - 5 + 4i = -7 - 4i (-5+8i) - (-5+7i) = -5 + 8i + 5 - 7i = 10 + i (-9a^2 + 5a^3) - (8a^3 - 5a^2) = -9a^2 + 5a^3 - 8a^3 + 5a^2 = -3a^3 - 3a^2 (6 - 8n) + (-4n + 5) = 6 - 8n - 4n + 5 = 11 - 12n Find each product. -2(7b + 5) = -14b - 10 2(7n - 8) = 14n - 16 (4k + 4)^2 = (4k + 4)(4k + 4) = 16k^2 + 16k + 16k + 16 = 16k^2 + 32k + 16 (3x - 7)(6x - 6) = 18x^2 - 18x - 42x + 42 = 18x^2 - 60x + 42 Solve each equation. -2n + 5 - 6n = 1 - 7n -8n + 5 = 1 - 7n -n = -4 n = 4 4 + a + 8 - 2a = 2 - 3a -a + 12 = 2 - 3a 2a = -10 a = -5