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marysya [2.9K]
3 years ago
5

What are the answers to 18-38

Mathematics
1 answer:
Maslowich3 years ago
5 0
The answer is to your question -20
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Which expression is the product of (x + 4i)(x − 4i)(x + 4)?
Sophie [7]
Answer= x³+4x²+16x+64

Expand the following:(x + 4 i) (x - 4 i) (x + 4)
(x - 4 i) (x + 4) = (x) (x) + (x) (4) + (-4 i) (x) + (-4 i) (4) = x^2 + 4 x - 4 i x - 16 i = -16 i + (4 - 4 i) x + x^2:
-16 i + (-4 i + 4) x + x^2 (4 i + x)
 | | | | x | + | 4 i
 | | x^2 | + | (4 - 4 i) x | - | 16 i
 | | | | (-16 i) x | + | 64
 | | (4 - 4 i) x^2 | + | (16 + 16 i) x | + | 0
x^3 | + | (4 i) x^2 | + | 0 | + | 0
x^3 | + | 4 x^2 | + | 16 x | + | 64:
Answer: x^3 + 4 x^2 + 16 x + 64
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