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2 years ago

How would the sum of cubes formula be used to factor x3y3 + 343? Explain the process. Do not write the factorization.

2 answers:

4 0

The sum of cubes formula:
a³ + b³ = ( a + b ) ( a² - a b + b² )
x³ y³ = ( x y )³ and 343 = 7³
x³ y³ + 343 = ( x y )³ + 7³ = ( x y + 7 ) ( x² y² - 7 x y + 49 )

olga_2 [115]2 years ago

3 0

To factor, first identify the quantities that are being cubed. The first term is the cube of xy, and the constant is the cube of 7. Next, use the formula to write the factors. The first factor is the sum of xy and 7. The second factor has three terms: the square of xy, the negative of 7xy, and the square of 7.

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2 years ago

Of the students who eat in a certain cafeteria, each student either likes or dislikes lima beans and each student either likes o

spayn [35]

Answer: There are 32 students who like brussels sprouts but dislike beans.

Step-by-step explanation:

Since we have given that

Number of students eat in the cafeteria = 120

Fraction dislike lime beans = $\dfrac{2}{3}$

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Fraction who dislikes lime beans but not brussles is given by

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So, Number of students who like brussels sprouts but dislike lima beans is given by

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Hence, there are 32 students who like brussels sprouts but dislike beans.

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3 years ago

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kati45 [8]

Answer:

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Step-by-step explanation:

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2 years ago

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andreyandreev [35.5K]

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2 years ago

Read 2 more answers

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Subtract 7 from both sides

x^2 - 6x - 7 = 7 - 7

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x^2 - 6x - 7 = 0

Answer :

The final solutions to the quadratic equation are:

x = 7, -1

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2 years ago