Answer:
True for all values of a, b and c.
Step-by-step explanation:
(a–3c)(4c+2a)+3c(a+3c)=(2a–c)(3c+5a)–8a^2
Left side:
(a–3c)(4c+2a)+3c(a+3c)
= 4ac + 2a^2 - 12c^2 - 6ac + 3ac + 9c^2
= 2a^2 + ac - 3c^2
Right side:
(2a–c)(3c+5a)–8a^2
= 6ac + 10a^2 - 3c^2 - 5ac - 8a^2
= 2a^2 + ac - 3c^2.
So we see that the left side is identical to the right side so it is true for all values of the variables.
Answer:
x=3 hope I helped you! :)
Answer:
Slope= -1x OR -x
Step-by-step explanation:
rise over run: y2 - y1 / x2 - x1
= 3 - (-3) / -4 - 2
= 6 / -6
= -1
A defined terms can be combined and form with the undefined terms to complete the definition of the term. A vertex for example, it is form when two lines are meet to each other or there would be an intersection of two lines. I hope you are satisfied with my answer and feel free to ask for more
Answer:

General Formulas and Concepts:
<u>Calculus</u>
The derivative of a constant is equal to 0
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Product Rule: ![\frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%20%5Bf%28x%29g%28x%29%5D%3Df%27%28x%29g%28x%29%20%2B%20g%27%28x%29f%28x%29)
Chain Rule: ![\frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%5Bf%28g%28x%29%29%5D%20%3Df%27%28g%28x%29%29%20%5Ccdot%20g%27%28x%29)
Step-by-step explanation:
<u>Step 1: Define</u>

<u>Step 2: Rewrite</u>

<u>Step 3: Differentiate</u>
- Product Rule [Basic Power/Chain Rule]:

- Simplify:

- Rewrite:

- Add:
