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
stiks02 [169]
3 years ago
15

What is the expression in factored form? 9x^2 - 12x + 4

Mathematics
2 answers:
spayn [35]3 years ago
8 0

Answer:

C. (3x - 2)²

Step-by-step explanation:

The square of a binomial can be written as (a + b)². If you expand this formula, you get

(a + b)(a + b). Use F.O.I.L. to multiply this out..

F - stands for 'Firsts' (the first values in each set of parenthesis)

O - stands for 'Outsides' ( the first value in the first set of parenthesis, and the  

second value in the second set of parenthesis)

I - stands for 'Insides' ( the second value in the first set of parenthesis, and  

the first value in the second set of parenthesis)

L - stands for 'Lasts' ( the second value in each set of parenthesis)

This is the order you multiply them in...so we get

F - a² (a times a)

O - ab  

I - ba (which we rewrite as ab, since order doesn't matter when multiplying)

L - b²

We add them together to get a² + ab + ab + b²

which simplifies to a² + 2ab + b²

Read this as, the square of the first term in the parenthesis (a²), plus twice the product of the terms (2ab is twice the product of a and b), plus the square of the last term in the parenthesis)

So to solve this we need to factor  9x² - 12x + 4

Look at the bold paragraph above and work backwards.  

Take the square root of the term 9x², which is 3x. That goes in the first value of the parenthesis, so we have

(3x + b)²  

We know that -12x is twice the product of the two terms, so we divide by 2 to see the product of the two terms.

-12x/2 = -6x,  

We know one term, so divide -6x by the first term, 3x, to find the second term.

-6x/3x = -2

So the last term in our set of parenthesis is -2, so we have

(3x - 2)²  

Aleonysh [2.5K]3 years ago
5 0
The answer is (3x-2)^2
You might be interested in
(0,1),(1,3),(2,5),(3,7) function rule
DaniilM [7]

\bf \begin{array}{ccll}x&y\\\cline{1-2}0&1\\[0.8em]1&\stackrel{2(1)+1}{3}\\[0.8em]2&\stackrel{2(2)+1}{5}\\[0.8em]3&\stackrel{2(3)+1}{7}\\[0.8em]x&2x+1\end{array}~\hspace{8em}y=2x+1

7 0
3 years ago
Y=-3x + 4<br> y= 3x - 2<br><br> Solve using Elimination Method
vova2212 [387]

Answer:

x=1

y=1

Step-by-step explanation:

-3x+4=3x-2

-3x+3x+4=3x+3x-2

4=6x-2

4+2=6x-2+2

6=6x

x=1

y=3(1)-2

y=1

3 0
3 years ago
S= 2m +2u <br><br> solve for m
Whitepunk [10]
M =0 if you put it in y= and hit 2nd graph and go down to the 0 there is a 1 with means m =0  (ti-84+ caculater)  
6 0
3 years ago
How to solve 6/12=2/c
Vlad1618 [11]
All you have to do here is some simplifying. 

6/12 = what
6 divided by 12 = 1/2

1/2 = 2/4

There! We have our missing value

6/12 = 2/4

Answer: c = 4
4 0
3 years ago
Read 2 more answers
PLEASE HELP ME!!!!!! I NEED HELP REALLY FAST!! I WILL BE MARKING BRAINLIEST!!!!!!
viva [34]

Common difference is +6 and I think nth term is 5 (pretty sure it's always the first term) and the second one im not so sure about I'm sorry.

4 0
3 years ago
Read 2 more answers
Other questions:
  • PLEASE HELP<br> find the area
    6·2 answers
  • My number is a multiple of 150. Nine is a factor of my number. My number has three digits. The sum of my digits in my number is
    6·1 answer
  • What is 66 rounded to the nearest ten and hundred
    9·2 answers
  • What is 40% of 400<br> Show work
    5·2 answers
  • Larissa asked 40 students to name their favorite food. 10 students said their favorite food was pizza. What percent of the stude
    8·2 answers
  • You roll a number cube 2 times how many outcomes are possible
    11·2 answers
  • (PICTURE) Im really struggling with questions like these at the moment, if you could please help me out thank you
    5·1 answer
  • The triangle below is equilateral. Find the length of side x in simplest radical form with a rational denominator.
    14·1 answer
  • Find the area of the figure below, round your answer to the nearest hundredth. (use
    10·1 answer
  • Complete the remainder of the table
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!