What is (2+i)-(4-6i)(-3+3i) ?

The solution to (2+i)-(4-6i)(-3+3i) is -4-29i

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simplify (2+i)-(4-6i)(-3+3i)

simplify

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

- 4 - 29 i

Solution steps

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

Apply rule:

(a) = a

(2 + i) = 2 + i

= 2 + i - (4 - 6 i) (- 3 + 3 i)

(4 - 6 i) (- 3 + 3 i) = 6 + 30 i

= 2 + i - 6 + 30 i

Expand

- (6 + 30 i) : - 6 - 30 i

= 2 + i - 6 - 30 i

Group like terms

= i - 30 i + 2 - 6

Add similar elements:

i - 30 i = - 29 i

= - 29 i + 2 - 6

Subtract the numbers:

2 - 6 = - 4

= - 29 i - 4

Rewrite in standard complex form:

- 4 - 29 i

= - 4 - 29 i

5 x^{2} - 5 x - 30

10 \cdot 10 \cdot 10 \cdot 10

7 x - 4 x^{2} = 0

4 x = 2

6 x^{2} + 17 x + 10