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Nezavi [6.7K]
3 years ago
5

Please help urgent!!

Mathematics
1 answer:
trapecia [35]3 years ago
8 0

Answer:

<em>The area of the rectangle is</em> A=12b^6+6b^3-18b^2

Step-by-step explanation:

<u>Area of a rectangle</u>

A rectangle of height H and width W has an area of:

A=H*W

The rectangle shown in the figure has a height of:

H=3b^2

And a width of

W=4b^4+2b-6

The area is

A=(3b^2)(4b^4+2b-6)

Operating:

A=(3b^2)*4b^4+(3b^2)*2b-(3b^2)6

A=12b^6+6b^3-18b^2

The area of the rectangle is A=12b^6+6b^3-18b^2

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Answer:

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Step-by-step explanation:

An easy way to solve this problem is to notice the numerator, 2017^4-2016^4 resembles the special product a^2 - b^2. In this case, 2017^4 is a^2 and 2016^4 is b^2. We can set up equations to solve for a and b:

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Now, the special product a^2 - b^2 factors to (a + b)(a - b), so we can substitute that for the numerator:

<h3>\frac{(2017^2+2016^2)(2017^2 - 2016^2)}{2017^2+2016^2}</h3>

We can notice that both the numerator and denominator contain 2017^2 + 2016^2, so we can divide by \frac{2017^2+2016^2}{2017^2+2016^2} which is just one, and will simplify the fraction to just:

2017^2 - 2016^2

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(2017 + 2016)(2017 - 2016)

And, without using a calculator, this is easy to simplify:

(4033)(1)

4033

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