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Alenkasestr [34]
3 years ago
6

Multiply (x^2+x-2)(x+2)

Mathematics
2 answers:
Blababa [14]3 years ago
5 0

Answer:

The answer is x^3+3x^2-4

Have a great day!

-Seth



Dvinal [7]3 years ago
3 0

For this case we must multiply the polynomial (x ^ 2 + x-2) by the monomial (x + 2), for this, we apply distributive property that states:

(a + c) * (b + d) = ab + ad + cb + cd

So:

(x ^ 2 + x-2) (x + 2) = (x ^ 2 * x) + (2 * x ^ 2) + (x * x) + (x * 2) + (- 2 * x) + (-2 * 2)

Considering that + * - = -

(x ^ 2 + x-2) (x + 2) = x ^ 3 + 2x ^ 2 + x ^ 2 + 2x-2x-4

Adding similar terms:

(x ^ 2 + x-2) (x + 2) = x ^ 3 + 3x ^ 2-4

So, by multiplying (x ^ 2 + x-2) (x + 2) we get x ^ 3 + 3x ^ 2-4

Answer:

(x ^ 2 + x-2) (x + 2) = x ^ 3 + 3x ^ 2-4


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If x= 19 feet and y = 12 feet, what is the area and perimeter of the figure above?
Delicious77 [7]

All we need to do to solve this problem is calculate the area of a rectangle and the area of a circle, then <em><u>add them</u></em>!

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First, let's do the rectangle!

Area of a rectangle = length x width

or in this case... Area = "x" times "y"

Area = 19 × 12 = 228 square feet!

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Now, let's do the circle!

Area of a circle = πr² ...      (r = radius)

<u><em>*</em></u> In this diagram, the diameter of the circle is also the same length as "y"!

<u><em>* </em></u>And remember that<em> radius is half of the diameter</em>.

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Area = π(6)² ⇒ 36π

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<u><em>*</em></u>But wait! Look at the figure! It looks like HALF of the circle's area <u>was included when we calculated the area of the rectangle</u>! This means that we should divide the area of the circle (that we just calculated) in half!

Area of the HALF CIRCLE = 113.1 ÷ 2 = 56.5

Now let's add the <u>area of the rectangle</u> to the <u>area of the half-circle</u> to find the <u>area of THE ENTIRE FIGURE</u>!

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Answer:

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Answer:

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