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
BlackZzzverrR [31]
3 years ago
10

Simplify the expression 3x(x – 12x) + 3x2 – 2(x – 2)2. Which statements are true about the process and simplified product? Check

all that apply. The term –2(x – 2)2 is simplified by first squaring the expression x – 2. The simplified product is a binomial. After multiplying, the like terms are combined by adding and subtracting. The parentheses are eliminated through multiplication. The final simplified product is –28x2 +8x – 8.
Mathematics
2 answers:
kirill115 [55]3 years ago
8 0

Given: The algebraic expression 3x(x – 12x) + 3x² – 2(x – 2)²    --------(i)

To prove: The final simplified product = –28x² +8x – 8.

Solution:

Step No. 1

First, we shall expand the term (x – 2)² by using Identity (a-b)²= a² + b² - 2ab

So, (x – 2)² = x² + 4 - 4x

From given expression (i)

3x(x – 12x) + 3x² – 2(x² + 4 - 4x)  --------(ii)

Step No. 2

Now, we shall multiply by the terms within the parentheses in (ii)

(3x² – 36x²) + 3x² – (2x² + 8 - 8x)  --------(iii)

Step No. 3

Now, we shall simplify the terms within the  parentheses in (iii)

(– 33x²) + 3x² – (2x² + 8 - 8x)  --------(iv)

Step No. 4

Now, we shall open the  parentheses to eliminate parentheses in (iv)

– 33x² + 3x² – 2x² - 8 + 8x   --------(v)

Step No. 5

Now, we shall add and subtract the like terms in (v)

– 28x² + 8x -8  --------(vi)

Hence, the simplified expression will be – 28x² + 8x -8

nata0808 [166]3 years ago
5 0

Answer:

Option 1,3 and 4

Step-by-step explanation:

Given: The algebraic expression  3x(x-12x) + 3x^2-2(x-2)^2

To find :  Which statements are true about the process and simplified product?

Solution :

First we solve the algebraic expression,

3x(x-12x)+3x^2-2(x-2)^2

Solve the square term,

=3x(x-12x)+3x^2-2(x^2+4-4x)

Open the parentheses by multiplication,

=3x^2-36x^2+3x^2-2x^2-8+8x

Add or subtract the like terms,

=-32x^2+8x-8

So, looking at the steps

Correct statements are:

  • The term  - 2(x - 2)^2 is simplified by first squaring the expression x-2.
  • After multiplying the like terms are combined by adding and subtracting.
  • The parenthesis are eliminated through multiplication.

Therefore, Option 1,3 and 4 are correct.

You might be interested in
......... my algebra....
dsp73

The graph represents a function but the table does not. The reason for this is that one input value (70) in the table is associated with two output values (54.6 and 53.11), which is a sure sign that we do NOT have a function here.

5 0
3 years ago
Read 2 more answers
Jack thinks the ordered pairs below could be solutions to a linear equation,but Sally disagrees. Who is correct? Justify your an
I am Lyosha [343]

who is jack is that your crush?

6 0
3 years ago
4 (×+2) show step if you can
chubhunter [2.5K]
I believe the answer is 4x + 8. you multiply 4 by x which makes 4x. Than you multiply 4 by 2, making 8. 
5 0
3 years ago
Read 2 more answers
What is 7643.63 rounded to the nearest dollar?
prisoha [69]

Answer:

7644

Step-by-step explanation:

Hope this helps!

6 0
3 years ago
Which expression is equivalent to 3(m − 3) + 4?
Elanso [62]

Answer:

3m − 5

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • An ant population starts at 1200 for a certain colony. As each month goes by in the winter, 6.5% of the population dies off. How
    12·2 answers
  • the weight of 100 identical samples of a substance is 0.01 pounds. what is the weight of 10000 samples?
    9·1 answer
  • Alejandro red 4 pagos in a book in 6 minutes how long would you expect him to read 6 pages at this rate
    13·2 answers
  • Find the value of x and y​
    13·1 answer
  • 9/4 as a mixed fraction
    11·1 answer
  • -8 • (6 + 3) + 390 + 6<br> Answer here
    12·2 answers
  • There is a decrease in power. It can be concluded that there has also been a change in: A)current or voltage.
    9·1 answer
  • Answer needed -3x + 9 = 18
    15·1 answer
  • Plz help me with this binary division whith full process/explanation 1001010 ÷ 101​
    6·1 answer
  • Hayley so 20 tickets to the school play for total of $225. Early bird tickets were $10 regular priced tickets are $15. Wright an
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!