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andrey2020 [161]
3 years ago
7

Given the expression: 5x10 − 80x2 Part A: Rewrite the expression by factoring out the greatest common factor. Part B: Factor the

entire expression completely. Show the steps of your work.
Mathematics
1 answer:
Darina [25.2K]3 years ago
3 0

Answer:

5x^2 ( x^2 -2)(x^2 +2)(x^2+2x+2)(x^2-2x+2)

Step-by-step explanation:

5x^10 − 80x^2

The greatest common factor is 5x^2

5x^2 ( x^8 - 16)

Rewriting the parentheses

5x^2 ( x^4 ^2 - 4^2)

We notice the difference of squares (a^2 -b^2) = (a-b)(a+b)

5x^2 ( x^4 -4)(x^4+4)

Again rewriting the first parentheses

5x^2 ( x^2 ^2 -2^2)(x^4+4)

5x^2 ( x^2 -2)(x^2 +2)(x^4+4)

The last term can be rewritten as(x^2+2x+2)(x^2-2x+2)

5x^2 ( x^2 -2)(x^2 +2)(x^2+2x+2)(x^2-2x+2)

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I'm going to make some assumptions here:

That your sqrt8x= sqrt4+2x means √(8x) = √(4+2x). (There are other interpretations.)


Squaring both sides, 8x = 4 + 2x, or 6x = 4, or x = 4/6, or x = 2/3.

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3 years ago
What is 2,527 divided by 8 equal step by step?
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Answer: 2527 divided by 8 equals

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Step-by-step explanation:

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3 years ago
1 For each line
Elena-2011 [213]

Step-by-step explanation:

I'll do line A for you and you can use the formulas to solve lines B and C yourself, since its good for you to practice doing these questions yourself

a)

The gradient, m, is calculated using m = (y2-y1)/(x2-x1) where x1,x2,y1 and y2 can be any ordered pairs on the line.  I'm going to use (4,0) and (7,3) as the 2 points.

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5 0
3 years ago
marathon runner runs26.2 miles at the pace of 6.2 minute per mile round off answer to the nearest minute how long will it take t
Scorpion4ik [409]
There are several methods of rounding, but in this case the 'best' one is probably to round up. Rounding down suggests that Kathy actually ran faster. 

<span>26.2 (mile) * 6.2 (minutes/mile) = 162.44 rounded up => 163 minutes.</span>
3 0
3 years ago
Work out length AC.
Yuki888 [10]

Answer: \sqrt{105}

Step-by-step explanation:

As a result of the pythagorean theorem we can say that a^2+b^2=c^2

In this case, we have bc and ab missing side ac. So the equation looks something like this 4^{2}+ac^{2} =11^2

dont get confused by the ac in the problem i only wrote it like that because ac is the length representation. So 16+ac^2=121 and with algebra we can solve to ac^2=105 or side ac=\sqrt{105}

5 0
3 years ago
Read 2 more answers
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