What is 2(3h-4i+1)-3(-4h+2i-4)+5(3h-6i+3) ?

The solution to 2(3h-4i+1)-3(-4h+2i-4)+5(3h-6i+3) is (33h+29)-44i

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simplify 2(3h-4i+1)-3(-4h+2i-4)+5(3h-6i+3)

simplify

2 (3 h - 4 i + 1) - 3 (- 4 h + 2 i - 4) + 5 (3 h - 6 i + 3)

(33 h + 29) - 44 i

Solution steps

2 (3 h - 4 i + 1) - 3 (- 4 h + 2 i - 4) + 5 (3 h - 6 i + 3)

Expand

2 (3 h - 4 i + 1) : 6 h - 8 i + 2

= 6 h - 8 i + 2 - 3 (- 4 h + 2 i - 4) + 5 (3 h - 6 i + 3)

Expand

- 3 (- 4 h + 2 i - 4) : 12 h - 6 i + 12

= 6 h - 8 i + 2 + 12 h - 6 i + 12 + 5 (3 h - 6 i + 3)

Expand

5 (3 h - 6 i + 3) : 15 h - 30 i + 15

= 6 h - 8 i + 2 + 12 h - 6 i + 12 + 15 h - 30 i + 15

Group like terms

= - 8 i - 6 i - 30 i + 6 h + 12 h + 15 h + 2 + 12 + 15

Add similar elements:

- 8 i - 6 i - 30 i = - 44 i

= - 44 i + 6 h + 12 h + 15 h + 2 + 12 + 15

Add similar elements:

6 h + 12 h + 15 h = 33 h

= - 44 i + 33 h + 2 + 12 + 15

Add the numbers:

2 + 12 + 15 = 29

= - 44 i + 33 h + 29

Rewrite in standard complex form:

(33 h + 29) - 44 i

= (33 h + 29) - 44 i

l^{^{'}} h o p i t a l

\frac{8}{8}

(2 + y)^{2}

2 x^{2} - 4 x + 6

What is 2(3h-4i+1)-3(-4h+2i-4)+5(3h-6i+3) ?
The solution to 2(3h-4i+1)-3(-4h+2i-4)+5(3h-6i+3) is (33h+29)-44i