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

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

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

simplify

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

- 4 + 4 i

Solution steps

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

Expand

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

= 6 - 4 i - 2 (5 - 4 i)

Expand

- 2 (5 - 4 i) : - 10 + 8 i

= 6 - 4 i - 10 + 8 i

Group like terms

= - 4 i + 8 i + 6 - 10

Add similar elements:

- 4 i + 8 i = 4 i

= 4 i + 6 - 10

Subtract the numbers:

6 - 10 = - 4

= 4 i - 4

Rewrite in standard complex form:

- 4 + 4 i

= - 4 + 4 i

lo g_{8} (x) - lo g_{\frac{1}{4}} (y) + lo g_{2} (z)

\frac{( 36 x ^{3} y ^{7} z ^{4} )}{( 12 x ^{2} y ^{2} )}

24 \times 24

(1 - y^{2})^{2}

5 \cdot 1 0^{- 9}