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saul85 [17]
3 years ago
6

The diameter of a spherical balloon that is being filled with air is increasing at the rate of 3 inches more than the time, t. W

hat will the volume, V, of the balloon be at t=3 seconds
Mathematics
1 answer:
Deffense [45]3 years ago
6 0
brainly.com/question/1468469
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Simplify the expression 3x(x – 12x) + 3x2 – 2(x – 2)2. Which statements are true about the process and simplified product? Check
kirill115 [55]

Given: The algebraic expression 3x(x – 12x) + 3x² – 2(x – 2)²    --------(i)

To prove: The final simplified product = –28x² +8x – 8.

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Step No. 1

First, we shall expand the term (x – 2)² by using Identity (a-b)²= a² + b² - 2ab

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3x(x – 12x) + 3x² – 2(x² + 4 - 4x)  --------(ii)

Step No. 2

Now, we shall multiply by the terms within the parentheses in (ii)

(3x² – 36x²) + 3x² – (2x² + 8 - 8x)  --------(iii)

Step No. 3

Now, we shall simplify the terms within the  parentheses in (iii)

(– 33x²) + 3x² – (2x² + 8 - 8x)  --------(iv)

Step No. 4

Now, we shall open the  parentheses to eliminate parentheses in (iv)

– 33x² + 3x² – 2x² - 8 + 8x   --------(v)

Step No. 5

Now, we shall add and subtract the like terms in (v)

– 28x² + 8x -8  --------(vi)

Hence, the simplified expression will be – 28x² + 8x -8

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