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victus00 [196]
3 years ago
5

Multiply and simplify. (x - 3)(x2 + 3x + 9) A) x3 - 27 B) x3 - 27x2 C) x3 - 6x2 + 3x - 27 D) x3 - 9x2 + 6x - 27

Mathematics
1 answer:
Finger [1]3 years ago
5 0
We have the following expression:
 (x - 3) (x2 + 3x + 9)
 Rewriting we have:
 (x3 + 3x2 + 9x) + (-3x2 - 9x - 27)
 Adding similar terms we have:
 x3 + x2 (3-3) + x (9-9) - 27
 x3 - 27
 Answer:
 
The simplified expression is:
 
A) x3 - 27
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The equation of circle with the center at (h,k) is:

\large \boxed{ {(x - h)}^{2}  +  {(y - k)}^{2}  =  {r}^{2} }

r stands for radius. Therefore r^2 = diameter or 2×radius.

The question has already given the information we need, which are:

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Since the center is (h,k) - therefore the center is at h = 0 and k = 8 making it (h,k) = (0,8).

Substitute the values in the equation:

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Simplify to the simplest form

\large \boxed{ {x}^{2}  +  {(y - 8)}^{2}  = 16}   \:  \:  \:  \: \huge{ \green{\checkmark}}

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\boxed{ \huge\boxed{ \mathcal{A}\mathfrak {nswer...}}}

The equation of a circle is represented as :

\large\boxed{(x - h) {}^{2} + (y -  k) {}^{2}  =  {r}^{2}  }

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