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

The solution to (3+i)-(5-7i)(-2+2i) is -1-23i

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

simplify

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

- 1 - 23 i

Solution steps

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

Apply rule:

(a) = a

(3 + i) = 3 + i

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

(5 - 7 i) (- 2 + 2 i) = 4 + 24 i

= 3 + i - 4 + 24 i

Expand

- (4 + 24 i) : - 4 - 24 i

= 3 + i - 4 - 24 i

Group like terms

= i - 24 i + 3 - 4

Add similar elements:

i - 24 i = - 23 i

= - 23 i + 3 - 4

Subtract the numbers:

3 - 4 = - 1

= - 23 i - 1

Rewrite in standard complex form:

- 1 - 23 i

= - 1 - 23 i

3 (2 x - 5) (8 x - 5) = 0

\frac{1}{8} n = 5

2 x^{2} + 14 x - 6 = x^{2} + 7 x

3.22 x + 8.99 \leq 8.22

\frac{4 n ^{4}}{6 n}