Answer:
(x−2)^3=x^3−6x^2+12x-8
Step-by-step explanation:
if you are talking about the binomial (x−2)^3 you must expand then simplify. (x-2)3 you would just remove the parenthesizes and multiply -2 with 3 to get x-6 but I think you meant (x-2)^3
Step 1. Simplify
7x^2 - 8x - 4 - 2x^2 + 3x + 5 + 5x^2 - 10x - 8
Step 2. Collect like terms
(7x^2 - 2x^2 + 5x^2) + (-8x + 3x - 10x) + (-4 + 5 - 8)
Step 3. Simplify
10x^2 - 15x - 7
The main rule to apply here is:
(i)
![\displaystyle{ a^ {\displaystyle{ (\frac{b}{c})} }= \displaystyle{ \sqrt[c]{a^b}](https://tex.z-dn.net/?f=%5Cdisplaystyle%7B%20a%5E%20%7B%5Cdisplaystyle%7B%20%28%5Cfrac%7Bb%7D%7Bc%7D%29%7D%20%7D%3D%20%5Cdisplaystyle%7B%20%5Csqrt%5Bc%5D%7Ba%5Eb%7D%20)
(ii)If c=2, then we write the following
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According to these rules:
![\displaystyle{ 5^ {\displaystyle{ (\frac{2}{3})} }= \displaystyle{ \sqrt[3]{5^2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%7B%205%5E%20%7B%5Cdisplaystyle%7B%20%28%5Cfrac%7B2%7D%7B3%7D%29%7D%20%7D%3D%20%5Cdisplaystyle%7B%20%5Csqrt%5B3%5D%7B5%5E2%7D%20)
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![\displaystyle{ 3^ {\displaystyle{ (\frac{2}{5})} }= \displaystyle{ \sqrt[5]{3^2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%7B%203%5E%20%7B%5Cdisplaystyle%7B%20%28%5Cfrac%7B2%7D%7B5%7D%29%7D%20%7D%3D%20%5Cdisplaystyle%7B%20%5Csqrt%5B5%5D%7B3%5E2%7D%20)
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Answer:
6 weeks
Step-by-step explanation:
100 + 5x = 10 + 20x
15x = 90
x=6
Steps:
1. Do 19 + -23= -4
2. Do -48 + -80= -128
3. Do -17 + 20= 3
4. Your answers are -4, -128, and 3
