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aleksandr82 [10.1K]
3 years ago
14

Would you rather have a cube of gold that measures 25 mm on each side, or two cubes of gold , one is 24 mm per side, and one is7

mm per side?
Mathematics
1 answer:
n200080 [17]3 years ago
6 0

Having a cube of gold with 25 mm side and 2 cubes of gold having side 24mm and 7mm are not same.

<u>Step-by-step explanation:</u>

Volume of 1 cube of side 25 mm= 25 x 25 x 25

= 15625 cubic mm

Volume of cube side 24mm = 24 x 24 x 24

= 13824 cubic mm

Volume of cube side 7mm = 7 x 7 x 7

= 343 cubic mm

Volume of 2 cubes = 13824 + 343

=  14167 cubic mm

Having a cube of gold with 25 mm side and 2 cubes of gold having side 24mm and 7mm are not same.

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Answer:

<h2>\frac{(x + 5)(x + 2)}{ {x}^{3} - 9x }</h2>

First option is the correct option.

Step-by-step explanation:

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Using {a}^{2}  -  {b}^{2}  = (a - b)(a + b) , factor the expression

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Write all numerators above the Least Common Denominators x ( x - 3 ) ( x + 3 )

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Multiply the parentheses

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When there is a (-) in front of an expression in parentheses, change the sign of each term in the expression

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\frac{ {x}^{2}  + 7x + 10}{ {x}^{3}  - 9x}

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Factor out x + 5 from the expression

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Hope this helps...

Best regards!!

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