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]
2 years ago
8

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

Mathematics
1 answer:
Mumz [18]2 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
Mr. Borden also asked his students, How do you get to school each day ? Is this question statistical? Explain.
Katen [24]

Answer:

That question is statistical because there can be multiple answers such as, biking, walking, carpooling, and taking a bus.

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Classify the following is rational or irrational(a) √45​
marshall27 [118]

The numbers that can be expressed in the form of a fraction are called rational numbers. While that numbers that cannot be expressed in the form of a fraction are called irrational numbers.

\sqrt{45} =\sqrt{3 \times 3 \times 5}

\sqrt{45} =3\sqrt{5}

3\sqrt{5} is an irrational number, it cannot be expressed in the form of a fraction.

3 0
3 years ago
-2/3-5/6= write in simplest form
sleet_krkn [62]
-2/3 - 5/6 

We need common denominators so, since 3 can go into 6, we only need to multiply the first fraction by 2.

= -2 x 2 / 3x2  -  5/6 
= -4 / 6 - 5/6 
 
We only subtract the numbers that are in the numerators, 

= -4-5 / 6 
= -9/6 

Both nine and six are divisible by 3, so to put into lowest terms... 

=-9÷3 / 6÷3
= -3/2  <--- Final Answer 

3 0
3 years ago
Find the missing number to make a unit rate 6/2=3/?
trasher [3.6K]

Answer:

yes

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Select the correct answer. Consider the following system of equations. Use this graph of the system to approximate its solution.
vesna_86 [32]

The approximate solution to the given system of equations, considering the graph, is given as follows:

D. \left(-\frac{13}{4}, \frac{5}{2}\right).

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

On a graph, the solution of a system of equations is given by the intersection between the curves. In this graph, the intersection of the two curves happen close to x = -3.25, y = 2.5, hence the solution is approximated by:

D. \left(-\frac{13}{4}, \frac{5}{2}\right)

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

7 0
2 years ago
Other questions:
  • Which of the following graphs is described by the function given below? y=x^2-6x-7
    12·1 answer
  • Sweaters already on sale for 30% off the regular price cost $28 when purchased with a promotional coupon that allows an addition
    13·1 answer
  • Courtney hit the bullseye 3/5 of time when playing darts.Write 3/5as a decimal
    10·1 answer
  • Who had to move and never seen their best friend again
    14·2 answers
  • What is the slope of (0,1) and (5,4)
    9·1 answer
  • H - 16 ≤ - 24
    13·1 answer
  • Please help me with this thankyou ​
    12·1 answer
  • Helpppp and explain this word problem!!!
    12·1 answer
  • ASVAB Test<br><br> I need help studying!! Any suggestions?
    8·1 answer
  • Plsss help i’ll give brainliest if you give a correct answer
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!