Answer:
Given the expression: ![3y^3-2y[4y-y(y-3)]-[2y(y+1)-3y(y^2-1)]](https://tex.z-dn.net/?f=3y%5E3-2y%5B4y-y%28y-3%29%5D-%5B2y%28y%2B1%29-3y%28y%5E2-1%29%5D)
The distributive property says that:

Applying distributive property on the given expression, we have;
![3y^3-2y[4y-y^2+3y]-[2y^2+2y-3y^3+3y]](https://tex.z-dn.net/?f=3y%5E3-2y%5B4y-y%5E2%2B3y%5D-%5B2y%5E2%2B2y-3y%5E3%2B3y%5D)
again apply the same property we have
![3y^3-8y^2+2y^3-6y^2-[2y^2+2y-3y^3+3y]](https://tex.z-dn.net/?f=3y%5E3-8y%5E2%2B2y%5E3-6y%5E2-%5B2y%5E2%2B2y-3y%5E3%2B3y%5D)
or

Like terms are those terms which have same variables to the same power.
Combine like terms;

Therefore, the simplified form of the given expression is, 
Answer:
AC = 12x + 20
Step-by-step explanation:
Combine the terms:
AB + BC = AC
AB = 8x + 2
BC = 4x + 18
Plug in the corresponding terms to the corresponding variables:
(8x + 2) + (4x + 18) = AC
AC = 8x + 4x + 18 + 2
AC = 12x + 20
12x + 20 is your answer for AC.
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Answer:
65536
Step-by-step explanation:
4^4*4^4=4^8=2^16=65536
Answer:
4,0
Step-by-step explanation:
The Y-intercept is always a number then a zero
The gradient of the given graph is 1.5
<h3>Calculating Gradient </h3>
From the question, we are to determine the gradient of the graph
Gradient is given by the formula

Where m is the gradient
Picking the points (-2, -2) and (2, 4) on the line
Then,
x₁ = -2
y₁ = -2
x₂ = 2
y₂ = 4
Putting the parameters into the equation, we get



m = 1.5
Hence, the gradient of the given graph is 1.5
Learn more on Calculating gradient here: brainly.com/question/21806111
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