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anonymous
 one year ago
Which expressions are equivalent to 40+24i?
Choose exactly two answers that are correct.
A. 4i(610i)
B. 4i(6+10i)
C. 8i(35i)
D. 8i(3+5i)
anonymous
 one year ago
Which expressions are equivalent to 40+24i? Choose exactly two answers that are correct. A. 4i(610i) B. 4i(6+10i) C. 8i(35i) D. 8i(3+5i)

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Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0apply distributive property distribute parentheses by outside number/variable \[\huge\rm \color{reD}{a}(b+c) =\color{red}{a} ·b +\color{reD}{a}·c =\color{ReD}{a}b +\color{ReD}{a}c\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Uh, can you help me through it? Sorry.

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0alright let's do a example \[\huge\rm 3i(2+5i)\] multiply both terms in the parentheses by outside number/variable which is 3i so multiply 3i times 2 + 3i times 5i\[\huge\rm 3i·2+3i·5i\] \[\large\rm (3·2)i+(3·5)i·i\]when we multiply same varaibles we should add their exponents so i^1 · i^1 =i^{1+1} =i^2 \[\large\rm (3·2)i+(3·5)i^2\] and i ^2 =1 so you can replace i^2 with 1\[\rm 6i+15(1) =6i15\]

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0so A: 4i(610i) distribute: multiply both terms in the parentheses by 4i
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