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
Nikitich [7]
2 years ago
10

Find the HCF and LCM of 4x^2 - 36 ,2x^2 - 12x + 18 and 2x^2 + x - 21​

Mathematics
1 answer:
olga_2 [115]2 years ago
4 0

Answer:

(x-3), 4 (x - 3)^2 (x + 3) (2 x + 7)

Step-by-step explanation:

Factor all the expressions,

1st expression= 4x^2 - 36=4(x^2-9)=4(x+3)(x-3)

2nd expression=2x^2 - 12x + 18 =2(x^2-6x+9)=2 (x - 3)^2=2(x-3)(x-3)

3rd expression=2x^2 + x - 21​=(x - 3) (2 x + 7)

HCF=Commo factor=(x-3)

LCF=Common factor*Remaining factor=4(x+3)(x-3)(x-3) (2 x + 7)=4 (x - 3)^2 (x + 3) (2 x + 7)

You might be interested in
Help ASAP
Contact [7]

Answer:

The second:   \bold{f (x) =4(x+\frac34)^2-\frac{21}4}

Step-by-step explanation:

                            f (x) =4x^2+6x-3\\\\f (x) =4(x^2+\frac64x]-3\\\\f (x) =4[x^2+2\cdot x\cdot\frac34+(\frac34)^2-(\frac34)^2]-3\\\\f (x) =4[(x+\frac34)^2-(\frac34)^2]-3\\\\f (x) =4(x+\frac34)^2-4(\frac34)^2-3\\\\f (x) =4(x+\frac34)^2-\frac94-\frac{12}4\\\\\underline{f (x) =4(x+\frac34)^2-\frac{21}4}

6 0
2 years ago
if A and B are overlapping subset of a universal set U,write the relation between n(U), n(A U B) and (A U B) compliments​
Ilya [14]

Answer:

n(U) = n(AUB) + n(AUB)'

Step-by-step explanation:

The cardinality of the universal set will be to add the cardinalities of both the union of A and B i.e (A U B) and and the compliments of A and B i.e n(AUB)'

4 0
2 years ago
Please help me!!!!! I can’t figure this question out
Ghella [55]

Answer:

well according to my calculations and if i am correct the Answer would be B

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
MAY SOMEBODY HELP ME THANKS!
yawa3891 [41]

Answer:

15 feet of water spread

Step-by-step explanation:

Area of the circular pattern is 706.50 sq. feet

Area = A = π r^2 = (3.14)* r^2

706.50 = (3.14)* r^2

r^2 =  706.50 / 3.14

r^2 =  706.50 / 3.14

r = root  (225)

r = 15 feet

5 0
3 years ago
Read 2 more answers
Easy 7th grade math questions please help it would be v appreciated
AnnZ [28]

Answer:

1.)C

2.)A

3.)B

4.)B

5.)A

Step-by-step explanation:

BTW if it's EASY then try but anyway,there you go!!

4 0
2 years ago
Other questions:
  • Mr.parker has 982 pounds of grain he feeds 240 pounds to his pigs and 460 to his cows how much grain does he have left
    7·2 answers
  • A restaurant can seat 100 people. It has booths that seat 4 people and tables that seat 6 people. So far, 5 of the booths are fu
    14·1 answer
  • !!!20 points!!!! What is the length of m?
    10·2 answers
  • What is the equation that passes through (4, 3) and (2, -1)?
    8·2 answers
  • What’s the name of that shape?
    10·2 answers
  • Which fraction is equivalent to 0.3636?
    8·2 answers
  • £2000 is invested in a savings account. Compound interest at 2.1% P.A.
    8·1 answer
  • 3/5+1/4<br><br> Give your answer as a fraction in its simplest form
    12·1 answer
  • Which of the follow expressions are equivalent to (3^4)^-2 • (3^5)^3
    11·1 answer
  • I don't understand this.
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!