What is simplify-i+(7-5i)-3(2-3i) ?

The solution to simplify-i+(7-5i)-3(2-3i) is 1+3i

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simplify-i+(7-5i)-3(2-3i)

simplify

- i + (7 - 5 i) - 3 (2 - 3 i)

1 + 3 i

Solution steps

- i + (7 - 5 i) - 3 (2 - 3 i)

Apply rule:

a + (b + c) = a + b + c

- i + (7 - 5 i) = - i + 7 - 5 i

= - i + 7 - 5 i - 3 (2 - 3 i)

Group like terms

= - i - 5 i - 3 (2 - 3 i) + 7

Add similar elements:

- i - 5 i = - 6 i

= - 6 i - 3 (2 - 3 i) + 7

Expand

- 3 (2 - 3 i) : - 6 + 9 i

= - 6 i - 6 + 9 i + 7

Group like terms

= - 6 i + 9 i - 6 + 7

Add similar elements:

- 6 i + 9 i = 3 i

= 3 i - 6 + 7

Add the numbers:

- 6 + 7 = 1

= 3 i + 1

Rewrite in standard complex form:

1 + 3 i

= 1 + 3 i

- 9 \cdot 8

8 \cdot 1 0^{5}

32 + 200

- 4 x^{2} + 2 x - 5 (1 + x)

ln (2.4)

What is simplify-i+(7-5i)-3(2-3i) ?
The solution to simplify-i+(7-5i)-3(2-3i) is 1+3i