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Kobotan [32]
3 years ago
11

12n^2+48n = -n^3-64 factoring polynomial equations

Mathematics
1 answer:
xxTIMURxx [149]3 years ago
4 0

Answer:

Step-by-step explanation:

12n2+48n=−n3−64

Step 1: Subtract -n^3-64 from both sides.

12n2+48n−(−n3−64)=−n3−64−(−n3−64)

n3+12n2+48n+64=0

Step 2: Factor left side of equation.

(n+4)(n+4)(n+4)=0

Step 3: Set factors equal to 0.

n+4=0

n=−4  

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What is the solution of -8/2y-8=5/y+4-7y+8/y^2-16 <br> y = –4 <br> y = –2 <br> y = 4 <br> y = 6
maria [59]
(-8)/(2y-8)=(5/(y+4))-7y+(8/(y^2-16))
(-4)/(y-4)=(5/(y+4))-7y+(8/(y+4)(y-4))
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4 0
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PLEASE HURRY!! <br> simplify completely<br> show all work for full credit
Irina18 [472]

Answer:

4x^{3}

Step-by-step explanation:

<u>Given:</u>

(\frac{192x^{12}}{3x^{3}} )^{\frac{1}{3}}

<u>Apply exponent rule of distribution:</u>

\frac{(192x^{12})^{\frac{1}{3}}}{(3x^{3})^{\frac{1}{3}}}

<u>Simplify the numerator:</u>

\\\\\frac{4 * 3^{\frac{1}{3}}x^{4}}{(3x^{3})^{\frac{1}{3}}}

<u>Simplify the denominator:</u>

\\\frac{4 * 3^{\frac{1}{3}}x^{4}}{3^\frac{1}{3}x}}

<u>Simplify:</u>

4x^{3}

-> To explain this party since it is a bigger jump, 3^{\frac{1}{3}}x is on the top and the bottom, so it becomes a one. We are left with a four on the top, and using properties of exponents 4 - 1 = 3, explaining why we have x^{3} leftover too.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

3 0
2 years ago
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