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4 March, 03:20

Simplify the expression

(1-3i) (2+5i) - (3-12i).

Show your work.

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  1. 4 March, 03:36
    0
    14 + 11i

    Step-by-step explanation:

    The product of binomials is found in the usual way, except that i² = - 1.

    (1 - 3i) (2 + 5i) - (3 - 12i)

    = (1·2 + 1·5i - 3i·2 - 3i·5i) - 3 + 12i

    = (2 + 15 - 3) + i (5 - 6 + 12)

    = 14 + 11i
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