14/01/2021 Mathway | Linear Algebra Problem Solver Evaluate (3.06 + 5.57i) ⋅ (1.97 + 0.35i) Expand (3.06 + 5.57i) (1.97 + 0.35i) using the FOIL Method. Tap for fewer steps... Apply the distributive property. 3.06 (1.97 + 0.35i) + 5.57i (1.97 + 0.35i) Apply the distributive property. 3.06 ⋅ 1.97 + 3.06 (0.35i) + 5.57i (1.97 + 0.35i) Apply the distributive property. 3.06 ⋅ 1.97 + 3.06 (0.35i) + 5.57i ⋅ 1.97 + 5.57i (0.35i) Simplify and combine like terms. Tap for fewer steps... Simplify each term. Tap for fewer steps... Multiply 3.06 by 1.97. 6.0282 + 3.06 (0.35i) + 5.57i ⋅ 1.97 + 5.57i (0.35i) Multiply 0.35 by 3.06. 6.0282 + 1.071i + 5.57i ⋅ 1.97 + 5.57i (0.35i) Multiply 1.97 by 5.57. 6.0282 + 1.071i + 10.9729i + 5.57i (0.35i) Multiply 5.57i (0.35i). Tap for fewer steps... Multiply 0.35 by 5.57. 6.0282 + 1.071i + 10.9729i + 1.9495ii https://www.mathway.com/Calculus 1/2 14/01/2021 Mathway | Linear Algebra Problem Solver Raise i to the power of 1. 1 6.0282 + 1.071i + 10.9729i + 1.9495 (i i) Raise i to the power of 1. 1 1 6.0282 + 1.071i + 10.9729i + 1.9495 (i i ) Use the power rule a m a n = a m+n to combine exponents. 6.0282 + 1.071i + 10.9729i + 1.9495i 1+1 Add 1 and 1. 6.0282 + 1.071i + 10.9729i + 1.9495i 2 Rewrite i as −1. 2 6.0282 + 1.071i + 10.9729i + 1.9495 ⋅ −1 Multiply 1.9495 by −1. 6.0282 + 1.071i + 10.9729i − 1.9495 Subtract 1.9495 from 6.0282. 4.0787 + 1.071i + 10.9729i Add 1.071i and 10.9729i. 4.0787 + 12.0439i https://www.mathway.com/Calculus 2/2