3 years ago

Please help with #2 I’m struggling and can someone please explain and give answer??!!!!

Mathematics

1 answer:

MatroZZZ [7]3 years ago

8 0

Check the picture below.

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Factor this expression completely, then place the factors in the proper location on the grid.

andreev551 [17]

Notice that you have a difference of cubes:

$\dfrac{x^3}8-\dfrac{y^3}{27}=\left(\dfrac x2\right)^3-\left(\dfrac y3\right)^3$

which can be factored using the rule,

$a^3-b^3=(a-b)(a^2+ab+b^2)$

So,

$\dfrac{x^3}8-\dfrac{y^3}{27}=\left(\dfrac x2-\dfrac y3\right)\left(\dfrac{x^2}4+\dfrac{xy}6+\dfrac{y^2}9\right)$

and just to make things look nicer, we can pull out 1/6 from the first factor and 1/36 from the second to get

$\dfrac{x^3}8-\dfrac{y^3}{27}=\dfrac1{216}(3x-2y)(9x^2+6xy+4y^2)$

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4 years ago

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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Three coins are flipped.

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Adrian has 12 pounds of coffee. He wants to repackage the coffee into bags of 2/3 pounds. How many bags of coffee can he make?

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Step-by-step explanation:

12 divided into 2/3 is the same as 12 multiplied by 3/2

12 x (3/2) = 18

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