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vfiekz [6]
3 years ago
7

X^3+3x^2y+3xy^2+y^3 ———————————— X^3+y^3

Mathematics
1 answer:
Hoochie [10]3 years ago
7 0
To factor this fraction, you have be be aware of two special factoring formula:
a^3<span> + </span>b^3<span> = (</span>a<span> + </span>b)(a^2<span> – </span>ab<span> + </span>b^2<span>)

</span><span>(a+b)³ = a³ + 3a²b + 3ab² + b³

You can see the top part in this case is (x+y)^3, and the bottom (denominator) can be factor into (x+y)(x^2-xy+y^2)
we can cancel (x+y), so what we have left is (x+y)^2/(x^2-xy+y^2)
or (x^2+2xy+y^2)/(x^2-xy+y^2)
</span>
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Which of the following represents the prime factortzation of 72?
rjkz [21]

Answer:

2³ x 3²

Step-by-step explanation:

The prime factorization of a number is the process of breaking down a number to a set of prime numbers that their product will give the original number:

          72

      2   x    36

      2 x 2 x 18

      2 x 2 x 2 x 9

       2 x 2  x 2 x 3 x 3

So;

  The prime factorization is 2³ x 3²

8 0
3 years ago
What would the variables for a and b be? 3/x + 5/x^2 = (ax+b)/x^2
allsm [11]

Answer:

a=3,b=5

Step-by-step explanation:

\frac{3}{x}  +  \frac{5}{ {x}^{2}  }  \\  =  \frac{3x}{ {x}^{2} }   +  \frac{5}{ {x}^{2} }  \\  =  \frac{3x + 5}{ {x}^{2} }

so as you got it:

\frac{(ax + b)}{ {x}^{2} }  =  \frac{3x + 5}{ {x}^{2} }  \\ a = 3 \\ b = 5

4 0
3 years ago
Can you guys help me with this ?I don’t understand it.
rewona [7]
Here it is! Have a nice day. :)

6 0
3 years ago
Levi is going to see a movie and is taking his 5 kids. Each movie ticket costs $14 and there are an assortment of snacks availab
olga nikolaevna [1]

Answer:

Levi would have to pay $94 if he bought all 5 kids movie tickets and 6 snacks for everyone to share (god that's a lot of money for a movie)

Step-by-step explanation:

3 0
3 years ago
Can somebody answer this worksheet. Sorry before it didnt let me.
Ahat [919]

Answer:

1: L = 5

  W = 7

2: A = lw

3: 35

4: 18

5: You have to add them up because it is 1 shape broken up into different parts.

6: 53

5 0
3 years ago
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