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
Arte-miy333 [17]
3 years ago
13

Joe is building a post for his mailbox. To find the correct dimensions, he needs to expand this expression: (x-3) (x-9) (x-4) Se

lect the equivalent expression written in the format ax3(cubed) + bx2(squared) +cx+d
Mathematics
1 answer:
kolbaska11 [484]3 years ago
3 0

Answer:

(x-3)(x-9)(x-4)=x^3-16x^2+75x-108

Step-by-step explanation:

Given:

The expression to expand is given as:

(x-3)(x-9)(x-4)

Let us expand the first two binomials of the given expression using FOIL method.

The FOIL method states that:

(a + b)(c + d) = ac + ad + bc + bd

(x-3)(x-9)=(x\times x)+(x\times -9)+(-3\times x)+(-3\times -9)\\\\(x-3)(x-9)=x^2-9x-3x+27=x^2-12x+27

Now, let us multiply the result with the remaining binomial. Multiplying each term of the trinomial with each term of the binomial, we get:

(x^2-12x+27)(x-4)\\\\= (x^2\times x)+ (x^2\times -4)+(-12x\times x)+(-12x\times -4)+(27\times x)+(27\times -4)\\\\=x^3-4x^2-12x^2+48x+27x-108\\\\=x^3-16x^2+75x-108...........(\because-12x^2-4x^2=-16x^2,48x+27x=75x)

Therefore, the equivalent expression after expanding is given as:

(x-3)(x-9)(x-4)=x^3-16x^2+75x-108

You might be interested in
Which expressions are equivalent to 3g+6(-g+(-5))
masya89 [10]

When 3g+6(-g+(-5)) is broken down, it makes -3g+-5

4 0
4 years ago
HELP Easy points really fast won’t take more than 1 minute
VashaNatasha [74]

Answer:53

Step-by-step explanation:

5 0
3 years ago
10/21 divided by (-15/7)
Whitepunk [10]

Answer:

Find the reciprocal of the divisor

Reciprocal of

15/7 : 7/15

Now, multiply it with the dividend

So, 10/ 21 ÷ 15/7 = 10/21 × 7/15

= 10 × 7/ 21 × 15 = 70/ 315

After reducing the fraction, the answer is

2/9

4 0
3 years ago
When you write $1.35, what does the decimal point mean
mote1985 [20]

Answer and explanation:

well the decimal is mainly used to separate the dollars from the cents so basically means that dollars are ending and the rest continues as cents or that its separating the dollar from the cent.

Can i please have brainiest it would help a lot.

8 0
4 years ago
Read 2 more answers
Consider the sequence: 4, 7, 10, ... , ... , ....<br><br> What is the nth term of this sequence?
Tju [1.3M]

4+3=7+3=10+3=13. Steps.........

Ninth term in the sequence is 30

4 0
4 years ago
Read 2 more answers
Other questions:
  • Hey one week 215,328 people visit the Grand Canyon how many hundreds of people visit the Grand Canyon down
    7·1 answer
  • A certificate of deposit has $10,000.00 and the bank pays 2.89% interest compounded monthly.
    15·1 answer
  • Number between <br> 61<br> and <br> 107<br> that is a multiple of <br> , 4, 6<br> and <br> 9<br> .
    9·1 answer
  • Mei-Ling is making a jewelry box that is shaped like the figure shown, with a slant height of 4 inches. She wants to cover the e
    6·2 answers
  • (x²y³3)<br> What is the answer pls
    10·2 answers
  • If y=x^2+2x find the value of y when x =3
    5·1 answer
  • Simplify (6y)squared
    12·1 answer
  • What are the solutions of 2x2 + 8x + 26 = 0?
    12·1 answer
  • A middle school has 950 students a survey was given to 20 randomly selected students and 8 said they would buy fresh fruit in th
    6·1 answer
  • Will mark brainliest ​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!