The two terms are x and 2, thus, x+2 is a binomial. We have to multiply the binomial by itself four times since it is raised to 4th power.
Let us multiply x+2 by itself using Polynomial Multiplication:
(x+2)(x+2) = x^2 + 4x + 4
Taking the result, let us multiply it again by a+b:
(x^2 + 4x + 4)(x+2) = x^3 + 6x^2 + 12x + 8
And again:
(x^3 + 6x^2 + 12x + 8)(x+2) = x^4 + 8x^3 + 24x^2 + 32x +16
The binomial expansion of (x+2)^4 is x^4 + 8x^3 + 24x^2 + 32x +16
Answer: C, D
<u>Explanation:</u>
Length: L = x + 3
width: x ≥ y + 2 ⇒ y ≤ x - 2
wheels: y
0.50(L * x) + 4(2.25y) ≤ 50
0.50(x + 3)(x) + 4(2.25y) ≤ 50
0.50(x² + 3x) + 9y ≤ 50
9y ≤ 50 - 0.50(x² + 3x)
<u>9y</u> ≤ <u>50 - 0.50x² - 1.5x</u>
÷9 ÷9
y ≤ 
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15 per person is the rate
22 is the constant
y = 15x + 22
<em>divide that by the number of people (x) to get:</em>
y = 