1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
poizon [28]
3 years ago
12

Using the distributive property, Marta multiplied the binomial (2x + 3) by the trinomial (x2 + x – 2) and got the expression bel

ow.
(2x)(x2) + (2x)(x) + (2x)(–2) + (3)(x2) + (3)(x) + (3)(–2)

Which is the simplified product?

2x3 + 6x2 – x – 6
2x3 + x2 – x – 6
2x3 + 5x2 – x – 6
2x3 – x2 – 7x – 6
Mathematics
2 answers:
Crazy boy [7]3 years ago
5 0

Answer:

option C is correct

2x^3+5x^2-x-6

Step-by-step explanation:

The distributive property states that:

a \cdot (x+y+z) = a \cdot x +a \cdot y+a \cdot z

Given that:

Marta multiplied the binomial (2x + 3) by the trinomial (x^2 + x -2)

i.e,

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

Distribute first term of the binomial to the trinomial expression and second term of the binomial to the trinomial expression.

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

Apply the distributive property:

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

Simplify:

2x^3+2x^2-4x+3x^2+3x-6

Combine like terms:

2x^3+5x^2-x-6

Therefore, the simplified product of the given expression is: 2x^3+5x^2-x-6

densk [106]3 years ago
3 0

Marta got the expression

2x\cdot x^2 + 2x\cdot x + 2x\cdot (-2) + 3\cdot x^2 + 3\cdot x + 3\cdot (-2).

First, note that

2x\cdot x^2=2x^3,\\2x\cdot x=2x^2,\\2x\cdot (-2)=-4x,\\3\cdot x^2=3x^2,\\ 3\cdot x=3x,\\3\cdot (-2)=-6.

Then add terms with the same degree:

2x^2+3x^2=5x^2,\\-4x+3x=-x.

At last,

(2x+3)(x^2 + x - 2)=2x^3+5x^2-x-6.

Answer: correct choice is C.

You might be interested in
Need help wit number 13
Stels [109]

Answer:

(0.5,3)

Step-by-step explanation:

7 0
3 years ago
The radius of the base of the right circular cone shown below is 5 inches and the height of the cone is 7 inches solving which o
kotykmax [81]

Answer:

The required equation is \tan\theta=\dfrac{7}{5}.

Step-by-step explanation:

Consider the provided information.

The required figure is shown below:

It is given that the radius of the base is 5 inches and the height of the cone is 7 inches.

We need to given the equation which gives the measure of \theta.

Now consider the right angle triangle making an angle \theta.

\tan\theta=\frac{\text{Opp}}{\text{Adj}}

\tan\theta=\dfrac{7}{5}

Hence, the required equation is \tan\theta=\dfrac{7}{5}.

6 0
3 years ago
Pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee​ help​
ioda

Answer:

there is nothing attached??

6 0
3 years ago
What is the cost of each stick of butter if 1lb is 4 sticks?
schepotkina [342]

Answer: Too little information

We need to know how much the butter costs per pound.

4 0
2 years ago
- The functions y = 2x + 4 and y = 2x + 1 are graphed
denpristay [2]
You can they'll never intersect because both of their slopes are 2
*linear functions with the same slope are always parallel*
8 0
3 years ago
Other questions:
  • How do you write this numerical expression 12*(25+5) in words
    11·2 answers
  • I also have another question:
    11·1 answer
  • Can someone show me what i did wrong? x is supposed to equal 2
    6·2 answers
  • Samuel plans to install a fence around the perimeter of his yard. His yard is shaped like a square and has an area of 40,000 squ
    12·1 answer
  • Please help, I will mark!
    13·1 answer
  • Can some one help pls
    15·1 answer
  • I need help on this problem​
    13·1 answer
  • If the price of gas increases from $1.01 per gallon to $1.21 per gallon, what is the percent of increase
    14·1 answer
  • Solve for x.<br> that is all thats provided for the question
    15·1 answer
  • Will mark brainliest
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!