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
Brums [2.3K]
3 years ago
9

What’s the least common multiple of x^2-2x-15 and x^2+2x-3?

Mathematics
1 answer:
Ghella [55]3 years ago
4 0

Answer:

\large\boxed{LCM(x^2-2x-15,\ x^2+2x-3)=(x+3)(x-5)(x-1)}\\\boxed{=x^3-3x^2-13x+15}

Step-by-step explanation:

x^2-2x-15=x^2+3x-5x-15=x(x+3)-5(x+3)=(x+3)(x-5)\\\\\\x^2+2x-3=x^2+3x-1x-3=x(x+3)-1(x+3)=(x+3)(x-1)\\\\LCM(x^2-2x-15,\ x^2+2x-3)=(x+3)(x-5)(x-1)\\\\=(x^2-2x-15)(x-1)\qquad\text{use FOIL}\\\\=(x^2)(x)+(x^2)(-1)+(-2x)(x)+(-2x)(-1)+(-15)(x)+(-15)(-1)\\\\=x^3-x^2-2x^2+2x-15x+15\qquad\text{combine like terms}\\\\=x^3+(-x^2-2x^2)+(2x-15x)+15\\\\=x^3-3x^2-13x+15

You might be interested in
I am between 24 and 34.you say my name when you count by twos from zero . you say my name when you count by fives from zero. wha
Mariulka [41]
You would have to be 30 because multiples of 5 would only be 25 and 30 inbetween those numbers, and 25 is not an even number which it must be if you can say the number counting by 2s
4 0
3 years ago
Add $50 million and 179.7 billion,
d1i1m1o1n [39]

50 million + 179.7 Billion = 179.75 billion.

I would give 2 billion to different charties than probably get a nice house, nice car, Playstation 5 (obvi) than I would give the rest out on poor people and my family and friends.

What would u do?

6 0
3 years ago
Read 2 more answers
Wha is 3/8×5/6 you will need a paper.
icang [17]
3/8 x 5/6 = 15/48 = 5/16
4 0
2 years ago
Read 2 more answers
Anyone know what 5x-4=36 is? I’m looking to solve the (x).
k0ka [10]

Answer:

x=8

Step-by-step explanation:

add 4 to both sides

divide 40 by 5

then you are left with x=8

6 0
2 years ago
Read 2 more answers
What is the difference between these two integers?<br><br> −14 − (+6) =
sladkih [1.3K]

Answer:

-14-6=-20

Step-by-step explanation:

the negative sign gives you a negative 6, which you can subtract from -14, giving you -20.

8 0
3 years ago
Other questions:
  • Lynn measured the length of her front yard by counting her strides. The yard measured 18.5 feet long. Emily measured the same ya
    5·1 answer
  • Eric randomly surveyed 150 adults from a certain city and asked which team in a contest they were rooting​ for, either North Hig
    8·1 answer
  • Anna buys dog food every 6 days and cat food every 9 days. If she buys both kinds of pet food today, in how many days will she n
    12·2 answers
  • I need help on these please I really need help.<br> It's tomorrow.
    11·1 answer
  • Intr-un triunghi dreptunghic abv ,m
    8·1 answer
  • 23.61 divided by 5.1
    5·2 answers
  • Help, asap lol I forgot what it was and didn't take notes. <br>problem in photo attached ^.^​
    9·1 answer
  • A translation moves P(0,5) to P'(3,1). What are the coordinates of the image
    9·1 answer
  • I really need help on this. can you please solve
    6·1 answer
  • Solving systems of 3 equations <br> 2x-y-3z=4<br> 4x+2y+z=10<br> 4x-y+4z=-8
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!