What is (2-i)+(-3+2i)-(5-4i) ?

The solution to (2-i)+(-3+2i)-(5-4i) is -6+5i

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simplify (2-i)+(-3+2i)-(5-4i)

simplify

(2 - i) + (- 3 + 2 i) - (5 - 4 i)

- 6 + 5 i

Solution steps

(2 - i) + (- 3 + 2 i) - (5 - 4 i)

Simplify

(2 - i) + (- 3 + 2 i) - (5 - 4 i) : 2 - i - 3 + 2 i - (5 - 4 i)

= 2 - i - 3 + 2 i - (5 - 4 i)

Group like terms

= - i + 2 i - (5 - 4 i) + 2 - 3

Add similar elements:

- i + 2 i = i

= i - (5 - 4 i) + 2 - 3

Subtract the numbers:

2 - 3 = - 1

= i - (5 - 4 i) - 1

Remove parentheses:

- (a + bi) = - a - bi

= i + - 5 - (- 4) i - 1

Group like terms

= i - (- 4) i - 5 - 1

Add similar elements:

i - (- 4) i = 5 i

= 5 i - 5 - 1

Subtract the numbers:

- 5 - 1 = - 6

= 5 i - 6

Rewrite in standard complex form:

- 6 + 5 i

= - 6 + 5 i

(\frac{- 1}{2})^{5}

\frac{4 x ^{2} - 16}{4 x - 2}

(y - 3) (y + 3)

3 y^{19}

7 \div \frac{1}{6}