Which expression is the product of (x + 4i)(x − 4i)(x + 4)?
2 answers:
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
First multiply first 2 elements, so: (x+4i)*(x-4i) =x^2-16i^2 Now: (x^2-16i^2)*(x+4)=x^3 + 4x^2 - 16xi^2 - 64i^2
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Step-by-step explanation:
x+y=21
2x+3y=51
x=-y+21
2(-y+21)+3y=51
-2y+42+3y=51
y+42=51
y=9
x=12
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