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Popular >

expand (-1+4i)*[2(2,3)-3(2,-5)]

Solution

expand

(- 1 + 4 i) \cdot [2 (2, 3) - 3 (2, - 5)]

Solution

- 1 \cdot [2 (2 \cdot 3,) - 3 (2, - 5)] + 4 i [2 (2 \cdot 3,) - 3 (2, - 5)]

Solution steps

(- 1 + 4 i) [2 (2, 3) - 3 (2, - 5)]

= (- 1 + 4 i) [2 (2 \cdot 3,) - 3 (2, - 5)]

Apply the distributive law:

a (b + c) = ab + a c

a = [2 (2, 3) - 3 (2, - 5)], b = - 1, c = 4 i

= [2 (2, 3) - 3 (2, - 5)] (- 1) + [2 (2, 3) - 3 (2, - 5)] \cdot 4 i

Apply minus-plus rules

+ (- a) = - a

= - 1 \cdot [2 (2 \cdot 3,) - 3 (2, - 5)] + 4 i [2 (2 \cdot 3,) - 3 (2, - 5)]

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Frequently Asked Questions (FAQ)

What is expand (-1+4i)*[2(2,3)-3(2,-5)] ?
The solution to expand (-1+4i)*[2(2,3)-3(2,-5)] is -1*[2(2*3,)-3(2,-5)]+4i[2(2*3,)-3(2,-5)]