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kirza4 [7]
4 years ago
10

What is the factored form of the expression?Factor completely.15g^3+18g^2-10g-12

Mathematics
1 answer:
Komok [63]4 years ago
8 0
Step 1: write the number as a product, helps visualizing common factors.
3*(5g)*g^2 + (2*3)*3 g^2-2*(5g) -2*(2*3)
I've marked things being repeating, so, group them up
5g(3g^2-2)+6(3g^2-2)
Now you have a common factor again
(3g^2-2)(5g+6)
Extra, if you want to split the first one, you can see it as the difference of (\sqrt{3}g)^2 and \sqrt{2} which is further split into( \sqrt{3} g+\sqrt{2}) (\sqrt{3} g-\sqrt{2})
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Whats the center and radius of (x+3)^2+(y-5)^2=64
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Answer:

The answer to your question is Center = (-3, 5)  radius = 8

Step-by-step explanation:

Data

                (x + 3)²  +  (y - 5)² = 64

Process

Because of the characteristics of the equation, we conclude that it is a circle.

Standard form of a circle:

              (x - h)² + (y - k)² = r²

In this form of the equation, the center has coordinates (h, k), just change the signs.

And to get the radius, just get the square root of r²

h = -3

k = 5

r = 8

Center = (-3, 5)

radius = 8

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