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DIA [1.3K]
3 years ago
5

How could the sum of cubes formula be use to factor x^3y^3+34

Mathematics
1 answer:
professor190 [17]3 years ago
4 0
Sum of cubes:  a^3 + b^3 = (a+b)(a^2 - ab + b^2)

Sum of cubes:  x^3*y^3 + 34, or     (xy)^3 +  (∛34)^3

This factors into    (xy + ∛34)*( [xy]^2 - xy∛34 + (∛34)^2 )
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8 0
4 years ago
BRANDI WANTS TO CALCULATE THE AVERAGE SPEED
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Answer:

C. S = 275/3

Step-by-step explanation:

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6 0
3 years ago
Expression equivalent to 8c+6-3c-2
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4 0
4 years ago
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3 years ago
Beth is moving into a new house and purchased cardboard boxes for packing her things. Each cardboard box has a square base and a
Shtirlitz [24]
Answer: Choice D)
S(x) = 6x^2 - 20x

-----------------------------------------------
-----------------------------------------------

Explanation:

x = side length of base
x*x = x^2 = area of base

The top also has an area of x^2 since the base and top are both congruent squares. The total base area is x^2+x^2 = 2x^2

The height h is 5 inches shorter than the base, so
h = (base length) - 5
h = x-5

Each lateral side is of area h*x = (x-5)*x = x^2-5x

There are 4 lateral sides
Total lateral area = 4*(area of one lateral side)
Total lateral area = 4*(x^2-5x)
Total lateral area = 4*x^2-4*5x
Total lateral area = 4*x^2-20x

Add the total lateral area (4x^2-20x) to the total base area (2x^2)

Doing so gets us
S(x) = Total Surface Area
S(x) = (Area of bases) + (area of lateral sides)
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S(x) = (2x^2+4x^2) - 20x
S(x) = 6x^2 - 20x
which is why the answer is choice D

4 0
3 years ago
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