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Andru [333]
3 years ago
12

(a³-64)÷(a-4) dividing polynomials​

Mathematics
1 answer:
AnnZ [28]3 years ago
7 0

Answer:

\textbf{$a^2 + 4a + 16$}\\

Step-by-step explanation:

\textup{Given:}\\$$ \frac{a^3 - 64}{a - 4} $$\\\textup{This can be written as:}\\$ (a - 4)(a^2 + 4a + 16) $ \hspace{25mm} $[ (a^3 - b^3) = (a - b)(a^2 + ab + b^2)]$\\

\textup{Here $b = 4$}\\\textup{Now, it can be written as}\\$$ \frac{(a - 4)(a^2 + 4a + 16)}{a - 4} $$\\\textup{which renders us}\\

$$a^2 + 4a + 16$$

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Can someone show me how to do this please?​
Andrej [43]

Answer:

SA = 108 ft^2

Step-by-step explanation:

The front and back faces are triangles with 4 ft base and 3 ft height.

The three sides are rectangles with dimensions 4 ft by 8 ft, 8 ft by 5 ft, and 3 ft by 8 ft.

The surface area is the sum of the areas of the two triangles and the three rectangles.

SA = 2 * (1/2)(4 ft * 3 ft) + 4 ft * 8 ft + 8 ft * 5 ft + 3 ft * 8 ft

SA = 12 ft^2 + 32 ft^2 + 40 ft^2 + 24 ft^2

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3 years ago
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riadik2000 [5.3K]
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Describe the differences and<br> similarities between the following<br> y = 2x – 3 and y &lt; 2x – 3
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2 years ago
An obtuse triangle has a side length of $16,$ and a side length of $21.$ The third side length is also a positive integer. How m
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3 years ago
How to break down 4/5 + 13/15 = 1 2/3
nalin [4]

Answer:

Step-by-step explanation:

The left hand side of the equation contains proper fractions while the right hand side of the equation contains mixed fraction. The mixed fraction can be changed to improper fraction. 1 2/3 becomes 5/3

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Considering 4/5, if 15 divides 5,the result is 3. Multiplying 3 by 4 gives 12. So it becomes

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