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3 years ago

Simplify for this question !

Mathematics

2 answers:

aalyn [17]3 years ago

7 0

Answer:

6x^3

Step-by-step explanation:

PolarNik [594]3 years ago

6 0

Answer:

=6x^9-3 [12/2=6]

=6x^6

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PLZ HELP ASAP! ILL MARK BRAINLEST!

Sav [38]

Question 1.) Factor completely $12x^{4}+ 6x^{3}+18x^{2}$

Since $6$ divides all the three terms of the equation, so we take $6$ common out from the equation.

i.e., $6(2x^{4}+ 1x^{3}+3x^{2})$

Now, since $x^{2}$ divides all the three terms of the equation, so we take $x^{2}$ common out from the equation.

i.e., $6x^{2}(2x^{2}+ 1x+3)$

Now, this cannot be factored further as $2x^{2}+ 1x+3$ is a quadratic equation and taking out discriminant of it is:

$D = (1)^2 - 4(2)(3)\\ \ \ = 1- 24\\ \ \ = -23$

Since, the discriminant is less than zero. Therefore, the factored form of the given equation : $12x^{4}+ 6x^{3}+18x^{2}$ is : $6x^{2}(2x^{2}+ 1x+3)$

Question 2.) $7x^{3}y+ 14x^{2} y^{3} - 7x^{2}y^{2}$

Since $7$ divides all the three terms of the equation, so we take $7$ common out from the equation.

i.e., $7(x^{3}y+ 2x^{2} y^{3} - x^{2}y^{2})$

Now, since $x^{2}y$ divides all the three terms of the equation, so we take $x^{2}y$ common out from the equation.

i.e., $7x^{2}y(x+ 2y^{2} - y)$

Therefore, the factored form of the given equation : $7x^{3}y+ 14x^{2} y^{3} - 7x^{2}y^{2}$ is : $7x^{2}y(x+ 2y^{2} - y)$

Question 3.) What is the Greatest Common Factor of $x^{6}$ and $x^{3}$ ?

The Greatest Common Factor of two numbers is the biggest number which divides both the given numbers completely.

Now, for the expressions $x^{6}$ and $x^{3}$ :

Since, $x^{3}$ divides both the expressions completely and it is the biggest expression which divides both the expressions.

Therefore, $x^{3}$ is the Greatest Common Factor of $x^{6}$ and $x^{3}$

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3 years ago

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Otrada [13]

Answer:

Step-by-step explanation:

Assuming this is a right triangle, we can use Pythagorean Theorem to find the third side. We'll represent the missing side with the variable x.

x² + 20² = 29²

x² + 400 = 841

x² = 441

x = 21

Therefore, the length of the third side is 21.

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2 years ago

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Answer a and b and explain how you did it for 25 points and brainest. Answer has to be correct.

julia-pushkina [17]

Answer:

Step-by-step explanation:

b. 2.5 inches. 20/8=2.5

a. 10.125 inches. 81/8 = 10.125

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3 years ago

The circumference of a circle is 64π. What is the radius of the circle?

Fynjy0 [20]

Answer:

A.32

Step-by-step explanation:

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Answer:

Ray GH and HG are NEVER the same ray.

Step-by-step explanation:

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