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
gregori [183]
3 years ago
13

What is the product of (3x + 1)(3x – 4)? Step by step.

Mathematics
2 answers:
gtnhenbr [62]3 years ago
8 0

Answer:

9x^2 - 9x - 4

Step-by-step explanation:

(3x + 1)(3x – 4)

Here you can use the FOIL method (FOIL stands for: First, Outer, Inner and Last)

First you multiply 3x by 3x since these are the <em>First</em> inside both binomials.

3x * 3x = 9x^2

Then you multiply 3x by -4 since these are the <em>Outer</em> inside both binomials.

3x * -4 = -12x

Then you multiply 1 by 3x since these are the <em>Inner</em> inside both binomials.

1 * 3x = 3x

Then you multiply 1 by -4 since these are the <em>Outer</em> inside both binomials.

1 * -4 = -4

And finally add everything together:

9x^2 + (-12x) + 3x + (-4)

Since adding a negative number is the same as subtracting it:

9x^2 - 12x + 3x - 4

We can now simplify this a little by adding all the x's together:

9x^2 - (12x + 3x) - 4 =

9x^2 - 9x - 4

Hope I could help you understand!

If you still wonder anything, don't hesitate to ask in the comments below!

Have a wonderful day! (●'◡'●)

kvasek [131]3 years ago
7 0

Answer:

9x^2-9x-3

Step-by-step explanation:

3x*3x=9x^2

3x*-4=-12x

1*3x=3x

1*-4=-3

9x^2-12x+3x-3

9x^2-9x-3

You might be interested in
What is the slope intercept form of the equation of the line 5x-6y=36
irina1246 [14]
It's an easy problems. what equations are you trying to find?
3 0
3 years ago
Can you please help me
max2010maxim [7]
Here’s the answer and each step I took to solve it. With the example I made on the side just continue to repeat that for each one to get the answers. You just replace that one number for the X to take the place for the next X value as you go down the table solving them.

7 0
3 years ago
last year my math book cost $126,and i was told the price would increase 9% each year. If the cost continues to increase at this
mrs_skeptik [129]
2,268 because u have to add the 2 years with 126
3 0
3 years ago
Read 2 more answers
In this fulcrum, for the weights to be balance, what do the distances d1 and d2 have to be if the overall length is 12 feet?
mel-nik [20]
For the fulcrum to balance, the product of weight and distance on both sides of the fulcrum must be the same.

Let d1= x. since total distance is 12, we can write d2 = 12 - x

for the fulcrum to balance:

60x = 50(12 - x)

60x = 600 - 50x

110x = 600

x = 5.45

Thus, d1= 5.45
and
d2= 12 - d1 = 12 - 5.45 = 6.55

d1 = 5.45
d2 = 6.55
5 0
3 years ago
Read 2 more answers
An electrician charges an initial fee of $35 for attending a house call. Thereafter, he charges $15 for every hour spent on the
umka21 [38]

Answer:

1 hour=35+15=50

2 hours=35+15(2)=65

3 hours=35+15(3)=80

4 hours=35+15(4)=95

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • Find two consecutive even integers such that the sum of the larger and twice the smaller is 62
    10·1 answer
  • Solution of 3x2 = 7x − 3?<br><br> 
    8·1 answer
  • What is the volume of this figure?
    15·1 answer
  • Write in form y=mx+b I will give brainiest to correct answer
    11·2 answers
  • What is the frequency of the graph of y = 1/3 sin(2x)?
    14·1 answer
  • A bag of 20 counters
    5·2 answers
  • Find the length of side x in simplest radical form with a rational denominator
    6·1 answer
  • Estimate to find the quotient. 342/8=
    9·1 answer
  • Question 7 )
    9·1 answer
  • 7 1/2 divided (4 1/2-5 1/8)=
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!