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katen-ka-za [31]
3 years ago
12

Factor completely. . 8x^3-27. Show solution with explanation.

Mathematics
1 answer:
Kitty [74]3 years ago
7 0
Here we are given 
<span>8x^3-27
now making both as a cube root
</span><span>(2x)^3-(3)^3 
using formula cube root
</span><span> a^3-b^3=(a-b)(a^2+ab+b^2)
</span>where 
a=2x
b=3
now putting these values 
<span>2x^3-3^3=(2x-3)(2x^2+2x*3+3^2)
simplifying
</span>2x^3-3^3=<span>(2x-3)(4x^2+6x+9)
</span>hence the right answer is 
2x^3-3^3=<span>(2x-3)(4x^2+6x+9)</span>
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The team won 4 gold medals, 4 silver medals and 10 bronze medals.

Step-by-step explanation:

Given,

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Ratio of gold, silver and bronze = 2:2:5

Let,

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Therefore,

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According to given statement;

2x+2x+5x=18\\9x=18

Dividing both sides by 9

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Gold medals = 2x = 2(2) = 4

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The team won 4 gold medals, 4 silver medals and 10 bronze medals.

Keywords: ratio, division

Learn more about division at:

  • brainly.com/question/1626495
  • brainly.com/question/1626676

#LearnwithBrainly

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