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:
B
Step-by-step explanation:
the six(6) muffins plus the $3 she saved
Answer:
1408
Step-by-step explanation:
Answer:
h = 4.22 cm
Step-by-step explanation:
Mathematically, we have the volume of a cylinder as;
V = pie * r^2 * h
We have it that the radius is 6 cm
V = pie * 6^2 * h
for the sphere, we have it that;
V = 4/3 * pie * r^3
V = 4/3 * pie * 4.5^3
We can proceed to equate both volumes;
pie * 6^2 * h = 5/3 * pie * 4.5^3
pie on both sides cancel out
6^2h = 5/3 * 4.5^3
36h = 151.875
h = 151.875/36
h = 4.22 cm
Y = 5(x - 2 ) (x + 1)
y = 5(x² + x -2x - 2)
y = 5(x² - x - 2)
y = 5x² - 5x - 10
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Answer: y = 5x² - 5x - 10
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