All categories

3 years ago

Apply the distributive property to simplify the expression -5 (-3x-6)

Mathematics

1 answer:

VARVARA [1.3K]3 years ago

8 0

Answer:

15x+30

Step-by-step explanation:

-5*-3x= 15x

-5*-6= 30

You might be interested in

HELPPP!!!! 10 PTS!! Find the missing information x = _____ m angle A = ____

7nadin3 [17]

Answer:

170/8

Step-by-step explanation:

the steps are in the pic

5 0

3 years ago

Read 2 more answers

What requirements must be met by a mathematical system in order to be a field?

Romashka-Z-Leto [24]

Answer:

Step-by-step explanation:

n mathematics, a set having an addition that must be commutative, and associative, and a multiplication that must be associative

5 0

3 years ago

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 $x^{3}$

7 0

3 years ago

Read 2 more answers

What number represents the minimum (least)? 1.10 2.14 3.16 4.20 5.29

Vinvika [58]

Answer:

Step-by-step explanation:

10 is the least of the numbers, it is the lowest

10<14,16,20,29

4 0

3 years ago

Read 2 more answers

Julio predicted that the average high temperature for January would be Negative 7 degrees Celsius. The actual average high tempe

svp [43]

-3 c is the answer !!!!!

7 0

2 years ago

Read 2 more answers

Apply the distributive property to simplify the expression -5 (-3x-6)​

Apply the distributive property to simplify the expression -5 (-3x-6)