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
Yanka [14]
3 years ago
8

Replace ∗ with a monomial so that the result is an identity:

Mathematics
1 answer:
Mumz [18]3 years ago
7 0

QUESTION 1

Taking the right hand side we have;

4a^2-b^2

We can rewrite this as;

(2a)^2-b^2

We apply difference of two squares.

p^2-q^2=(p+q)(p-q)

(2a-b)(2a+b)

\therefore (2a-b)(2a+b)=4a^2-b^2

QUESTION 2

Taking the right hand side we have;

25x^2-0.16y^4

We can rewrite this as;

(5x)^2-(0.4y^2)^2

We apply difference of two squares.

p^2-q^2=(p+q)(p-q)

(5x-0.4y^2)(5x+0.4y^2)

\therefore (5x-0.4y^2)(5x+0.5y^2)=25x^2-0.16y^4

QUESTION 3

Taking the right hand side of the given equation, we have;

121a^{10}-b^8

We rewrite this as;

(11a^{5})^2-(b^4)^2

\therefore (11a^{5})^2-(b^4)^2=(11a^5-b^4)(11a^5+b^4)

QUESTION 4

From the RHS;

16y^2-9x^2

This implies that;

(4y)^2-(3x)^2

(4y)^2-(3x)^2=(4y-3x)(4y+3x)

QUESTION 5

From the left hand side, we have

100m^4-4n^6

This implies that;

(10m^2)^2-(2n^3)^2

Using difference of two squares, we have;

(10m^2)^2-(2n^3)^2=(10m^2-2n^3)(2n^3+10m^2)

QUESTION 6

From the LHS;

m^4-225m^{10}

We rewrite to obtain;

(m^2)^2-(15c^5)^2

Using difference of two squares, we obtain;

(m^2)^2-(15c^5)^2=(m^2-15c^5)(15c^5+m^2)

You might be interested in
9
Studentka2010 [4]

Answer:

Hello! answer: 12 cm

Step-by-step explanation:

60 ÷ 5 = 12 Therefore. the height is 12 hope that helps!

8 0
3 years ago
340 yards increased by 145% is how many yards? Can you please show me how you got your answer.
Studentka2010 [4]
Just turn the percentage to a decimal. 145% becomes 1.45. Then add 1.00 to 1.45. 1 + 1.45 = 2.45

Then multiply. 2.45 * 340 = 833
7 0
3 years ago
What value of x makes the equation true?
Gekata [30.6K]
Any answer choices? BUT if your SOLVING for x then x=5
5 0
3 years ago
Read 2 more answers
How can i find the distance of AM.
ozzi

Answer:

AM=5

Step-by-step explanation:

AM=MC

3y-4=2y-1

3y-2y-4=-1

+4            +4

y=3

so

AM=3*3-4=9-4=5

7 0
3 years ago
Please help please please please
ipn [44]

We have filled in dot on the left that will give "≤". x of this filled dot = -1.5,

So, we can write -1.5≤x.

Empty dot gives "<". x of the empty dot = 1. So, we can write x<1.

We can put it all together.

Answer is

- 1.5 ≤ x < 1 .


7 0
3 years ago
Other questions:
  • What is the third term of the sequence defined by the recursive rule f(1)=3 f(n)=f(n-1)+4
    9·1 answer
  • What type of association is shown in this scatter plot?
    11·2 answers
  • A + b = dr, solve for a
    13·1 answer
  • According to the 2000 U.S. Census Bureau, 49.65% of Texas residents were male. If one Texan was selected at random in 2000, what
    6·1 answer
  • a loaded truck is traveling 20 mph faster than a freight train. In the time it takes the train to travel 160 miles, the truck tr
    8·1 answer
  • The letters of the alphabet are written on 26 cards.Two cards are chosen at random without replacement. What is the probability
    7·2 answers
  • Help me and ill mark you brainliest
    11·1 answer
  • Adele ya tiene 2 pegatinas y obtendrá 21 pegatinas adicionales de cada paquete de pegatinas que compre. ¿Cuántos paquetes de peg
    12·1 answer
  • Sinead bought 2 shirts for $15.81 each and a pair of shoes for $42.81. If she paid for the items with a $100 bill, how much chan
    5·2 answers
  • Please help me?<br><br> please and thank you!
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!