What is 3(3i-1)+4(1-2i) ?

The solution to 3(3i-1)+4(1-2i) is 1+i

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simplify 3(3i-1)+4(1-2i)

simplify

3 (3 i - 1) + 4 (1 - 2 i)

1 + i

Solution steps

3 (3 i - 1) + 4 (1 - 2 i)

Expand

3 (3 i - 1) : 9 i - 3

= 9 i - 3 + 4 (1 - 2 i)

Expand

4 (1 - 2 i) : 4 - 8 i

= 9 i - 3 + 4 - 8 i

Group like terms

= 9 i - 8 i - 3 + 4

Add similar elements:

9 i - 8 i = i

= i - 3 + 4

Add the numbers:

- 3 + 4 = 1

= i + 1

Rewrite in standard complex form:

1 + i

= 1 + i

1.1 5^{2}

x (x + 3)

g (5)

(\frac{3}{x} + x^{2})^{3}

5 + - 4