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never [62]
3 years ago
15

(Picture) MULTIPLYING POLYNOMIALS AND SIMPLIFYING EXPRESSIONS PLEASE HELP!!!!

Mathematics
1 answer:
Sidana [21]3 years ago
3 0

Answer:

-2p^2-11p-35

Step-by-step explanation:

-2(p+4)^2-3+5p

First we square the parenthesis. Apply FOIL method to multiply

(p+4)^2= (p+4)(p+4)= p^2 + 4p+4p+16= p^2+8p+16

-2(p^2+8p+16) -3+5p

distribute -2 inside the parenthesis

-2p^2-16p-32-3+5p

Now combine like terms

-2p^2-11p-35


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Simplify (4x + 12) - (6x - 18)
bixtya [17]

Answer:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :  

                    4*x-12-(6*x-18)=0

Step-by-step explanation:

Pull out like factors :

  -2x + 6  =   -2 • (x - 3)

5 0
2 years ago
Read 2 more answers
Determine whether the statement is always true, sometimes true, or never true. Give an example. (a) Both sides of an equation ca
arsen [322]

Answer:

(A) Always true

(B) Seldom true

Step-by-step explanation:

(A) Both sides of an equation can be multiplied by the same number without this action changing the solution of the equation.

Keyword here is "number".

Multiplying both sides of an equation by an equal quantity (same number) will result in same solution after solving for the unknown in the equation. This is because that numeric quantity can always be removed by dividing both sides of the equation by it or by a factor (or multiple) of it.

EXAMPLE:

For a linear equation, 4x - 6 = 15x

let's find the solution, in other words solve for the unknown value X.

4x - 15x = 6

-11x = 6

x = -6/11

Now multiply both sides of the equation by 3.

3(4x - 6) = 3(15x)

12x - 18 = 45x   ___new equation

Solve for X

12x - 45x = 18

-33x = 18

x = -18/33

Reduce the fraction to its simplest form by looking for a number that can divide both numerator and denominator without remainder. In other words, think of a number that is a factor of 18 and a factor of 33.

That common factor or highest common factor (HCF) is 3.

Go ahead and reduce the fraction.

x will be reduced to -6/11

(B) Both sides of an inequality can seldom be multiplied by the same number, without such action changing the solution set of the equation.

Inequalities are more complex. Operational signs even change sometimes, in the course of finding the solution set of the inequality.

Sometimes, multiplying both sides of an inequality by a given numeric quantity will change its solution set and sometimes, it won't.

5 0
3 years ago
What is the altitude of the equilateral triangle?
MAXImum [283]
It’s not going to be C because 10 is already in the question
7 0
2 years ago
There are 14 red, 10 yellow, 5 green, and 3 purple candies in a bag. What is the probability that a candy chosen at random is no
ch4aika [34]

Answer: 9/16

Work Shown:

14 red + 10 yellow + 5 green + 3 purple = 32 total

(32 total) - (14 red) = 18 that aren't red

18/32 = 9/16 is the probability of picking something that isn't red.

8 0
2 years ago
What is the surface area and steps to get there
GrogVix [38]
So you want to find the area of each side
8X10=80
8x6=48
8x8=64
10X6=60
80+48+64+60=252
So the surface area is 252 yds
5 0
3 years ago
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