Explain how to simplify the expression （-8）+（-3）+（-4）（7）/14+9（-2）. Show the updated expression after each step you take.

1 answer:

7 0

Follow the order of operations. Multiplication and division being Equal to each other you’ll need to go from left to right just like you are reading a book.

(-8)+(-3)+ (-28) / 14+9 (-2)

(-8)+(-3)+ (-2)+9 (-2)

(-8)+(-3)+(-2)+(-18)

Then once all multiplication and division is completed you can move on to addition and subtraction. Same as before left to right.

-11+ (-2)+(-18)

-13+ (-18)

-31 is the answer

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If z^2+1/z^2=11 , find the value of z^3-1/z^3,using only the positive value of z-1/z

vredina [299]

Hello,

Let's assume

$t=z- \dfrac{1}{z} \\\\

t^2=z^2-2+ \dfrac{1}{z^2}= 11-2=9==\ \textgreater \ t=3\\\\

t^3=z^3-3z^2* \dfrac{1}{z} +3z* \dfrac{1}{z^2} - \dfrac{1}{z^3} \\\\
=z^3 - \dfrac{1}{z^3} -3(z-\dfrac{1}{z})\\\\
z^3 - \dfrac{1}{z^3}=t^3+3t=3^3+9=27+9=36


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