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jok3333 [9.3K]
3 years ago
14

How would the expression x^3+64 be rewritten using sum off cubes

Mathematics
2 answers:
Mamont248 [21]3 years ago
8 0
\bf \textit{difference of cubes}
\\ \quad \\
a^3+b^3 = (a+b)(a^2-ab+b^2)\qquad
(a+b)(a^2-ab+b^2)= a^3+b^3 \\ \quad \\
a^3-b^3 = (a-b)(a^2+ab+b^2)\qquad
(a-b)(a^2+ab+b^2)= a^3-b^3\\\\
-------------------------------\\\\
\boxed{64=4^3}\qquad x^3+64\implies x^3+4^3\implies (x+4)(x^2-x4+4^2)
\\\\\\
(x+4)(x^2-4x+16)
gogolik [260]3 years ago
3 0

Answer:

(x+4)(x^2-4x+4^2)

Step-by-step explanation:

We have been given an expression x^3+64 and we are asked to rewrite our expression using sum of cubes.

Sum of cubes: a^3+b^3=(a+b)(a^2-ab+b^2).

We can rewrite 64 as: 64=(4*4*4)=4^3

This means that a = x and b = 4, Upon substituting these values in sum of cubes formula we will get,

x^3+64=(x+4)(x^2-4x+4^2)

x^3+64=(x+4)(x^2-4x+4^2)

Therefore, after rewriting our given expression as sum of cubes we will get: (x+4)(x^2-4x+4^2).

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kolezko [41]

Answer:

<h3>.8^6/8</h3><h3>( 262,144)/8</h3><h3><u>=</u><u> </u><u>3</u><u>2</u><u>,</u><u>7</u><u>6</u><u>8</u></h3>

Step-by-step explanation:

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A tea‑drinking Canadian friend of yours claims to have a very refined palate. She tells you that she can tell if, in preparing a
wlad13 [49]

Answer:

20

Step-by-step explanation:

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This can be calculated using formula nCr

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3 years ago
Two numbers, a and b, are stored in one byte floating point notation using the least significant (rightmost) 3 bits for the expo
ehidna [41]

a=00110111 = 00110_2 \times 2^{111_2} = 6 \times 2^{-1} = 3


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a+b=-2 = -1 \times 2^{001} = -2 \times 2^{0} = -4 \times 2^{-1} etc.


a+b=-2 = 11111001 = 11110000 = 11100111 = ...


Hard to select the correct answers without seeing the choices. Let's check a couple,


11111001 = -(00000+1) \times 2^{1} = -2 \quad\checkmark


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4 0
3 years ago
6) the circular base of a hemisphere of radius 2 rests on the base of a square pyramid of height 6. the hemisphere is tangent to
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The length of the square base is thus 2 x 3\sqrt{2}/2 = 3\sqrt{2} = A

<h3>What is hemisphere?</h3>

Consequently, a hemisphere is a 3D geometric object that is made up of half of a sphere, with one side being flat and the other being a bowl-like shape. It is created by precisely cutting a spherical along its diameter, leaving behind two identical hemispheres.

EXPLANATION; Let ABCDE be the pyramid with ABCD as the square base. Let O and M be the center of square ABCD and the midpoint of side AB respectively. Lastly, let the hemisphere be tangent to the triangular face ABE at P.

Notice that triangle EOM has a right angle at O. Since the hemisphere is tangent to the triangular face ABE at P, angle EPO is also 90 degree. Hence, triangle EOM is similar to triangle EPO.

OM/2 = 6/EP

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To know more about Hemisphere, visit;

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6 0
1 year ago
Whats the least common denominator of 9, 13, and 20
aliya0001 [1]

Answer:

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   3                          0                        0                     2               2                                                  

   5                          0                         1                     0                  1  

 

   13                         1                         0                    0                   1

6 0
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