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

The solution to 2(2+3i)-3(-1+4i) is 7-6i

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

simplify

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

7 - 6 i

Solution steps

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

Expand

2 (2 + 3 i) : 4 + 6 i

= 4 + 6 i - 3 (- 1 + 4 i)

Expand

- 3 (- 1 + 4 i) : 3 - 12 i

= 4 + 6 i + 3 - 12 i

Group like terms

= 6 i - 12 i + 4 + 3

Add similar elements:

6 i - 12 i = - 6 i

= - 6 i + 4 + 3

Add the numbers:

4 + 3 = 7

= - 6 i + 7

Rewrite in standard complex form:

7 - 6 i

= 7 - 6 i

\frac{5}{6} \div \frac{4}{3}

\frac{32}{80}

4 (x - 10) - 6 (x - 4)

(5 + 3 i) (2 - i)

x^{2} (x + 1) - 4 (x + 1)