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2 years ago

Solve (x^2+4)(x^2-4)

Mathematics

2 answers:

timurjin [86]2 years ago

3 0

(x^2+4)(x-2)(x+2)orx^4 - 16

wolverine [178]2 years ago

3 0

If you need to expand, you multiply all the terms:

x^2 * x^2 = x^4
x^2 * -4 = -4x^2
4 * x^2 = 4x^2
4 * -4 = -16

And then combine:

x^4 - 4x^2 + 4x^2 - 16

Which becomes:

x^2 - 16

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3 years ago

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2 years ago

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2 years ago

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2 years ago

A right circular cylinder has a height of 22 1/4 ft and a diameter 2 2/5 times its height. What is the volume of the cylinder? E

Triss [41]

Answer:

The volume of cylinder is:

49806.06 ft^3

Step-by-step explanation:

We are given a right circular cylinder with:

Height(h)= $22\frac{1}{4}ft=\dfrac{89}{4}ft$

and a diameter is $2\frac{2}{5}$ times it's height.

i.e. $\dfrac{12}{5}$ times it height.

i.e. the diameter is given as:

$\dfrac{12}{5}\times \dfrac{89}{4}=\dfrac{267}{5}ft.$

We know that the radius of cylinder is half the diameter.

Hence, radius(r) of cylinder is:

$\dfrac{1}{2}\times \dfrac{267}{5}\\\\=\dfrac{267}{10}$

The volume(V) of cylinder is given by:

$V=\pi r^2h$

$V=3.14\times (\dfrac{267}{10})^2\times \dfrac{89}{4}\\\\V=\dfrac{19922423.94}{400}\\\\V=49806.06ft^3$

Hence, the volume of cylinder is:

49806.06 ft^3

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3 years ago