How do you evaluate $- 2 (6 i - 3) + 5 i + 10$ $-2( 6i - 3) + 5i + 10$ ?

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Answer 1 · 2018-05-14T02:08:07

$- 7 i + 16$ $-7i + 16$

$- 2 (6 i - 3) + 5 i + 10$ $-2(6i-3) + 5i + 10$

Use the distributive property to simplify $- 2 (6 i - 3)$ $color(blue)(-2(6i-3))$ :
$- 2 (6 i - 3) = - 12 i + 6$ $color(blue)(-2(6i-3) = -12i + 6)$

Put that back into the expression:
$- 12 i + 6 + 5 i + 10$ $-12i + 6 + 5i + 10$

Color-code the like terms:
$color(red)(-12i) quadcolor(green)(+quad6) quadcolor(red)(+quad5i) quadcolor(green)(+quad10)$

Combine the like terms:
$-7i + 16$

Hope this helps!

How do you evaluate -2( 6i - 3) + 5i + 10−2(6i−3)+5i+10-2( 6i - 3) + 5i + 10?