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
Juliette [100K]
1 year ago
5

Which of the following would best be solved using factoring the difference of squares? 2² + 3x - 10 = 0 O 3r² + 12x = 8 2³ +52²

- 9x - 45 = 0 2²-25=0

Mathematics
1 answer:
IgorC [24]1 year ago
3 0

Given: Different equations

To Determine: Which would be best solved using difference of two squares

Solution

The factorization of a difference of two squares is given below

a^2-b^2=(a-b)(a+b)

Let us examine each of the given equation

\begin{gathered} x^2+3x-10=0 \\ x^2-2x+5x-10=0 \\ x(x-2)+5(x-2)=0 \\ (x-2)(x+5)=0 \end{gathered}\begin{gathered} 3x^2+12x=8 \\ 3x^2+12x-8=0 \end{gathered}\begin{gathered} x^3+5x^2-9x-45=0 \\ x^2(x+5)-9(x+5)=0 \\ (x+5)(x^2-9)=0 \\ x^2-9=x^2-3^2=(x+3)(x-3) \\ Therefore \\ (x+5)(x+3)(x-3)=0 \end{gathered}\begin{gathered} x^2-25=0 \\ x^2-5^2=0 \\ (x+5)(x-5)=0 \end{gathered}

From the above,

\begin{gathered} x^3+5x^2-9x-45=0 \\ AND \\ x^2-25=0 \end{gathered}

The two equation above can be solved by difference of two square, but the equation below is the easiest solved using differnce of two square

x² - 25 = 0

You might be interested in
The slope of the line shown in the graph is<br> and the y-intercept of the line is
Katen [24]

Answer:

y-intercept is 6, the slope is 2/3

Step-by-step explanation:

Hope this helps!

If not, I am sorry.

6 0
2 years ago
PLEASE HELP!!!!!!!------- Ann sells boxes of cookies for $10 each. Abdul sells boxes of cookies for $8 each. Each of them sold t
madreJ [45]

Answer:

They both sold $40 worth of cookies.

Step-by-step explanation:

Using multiples the first multiple that 10 and 8 have in common is 40.

10,20,30,40

8,16,24,32,40

6 0
3 years ago
Find an equivalent system of equations for the following system x + 2y = 2, -4x + 4y = -8
agasfer [191]

Answer:

2x + 4y = 4

-8x + 8y = -16.

Step-by-step explanation:

We can find an equivalent system by multiply the 2 equations by 2.

x + 2y = 2  multiplied by 2 is 2x + 4y = 4.

4 0
2 years ago
Read 2 more answers
Write an equivalent expression for 4.5x(2 - 6)
ki77a [65]

4.5x(2 - 6) \\  \\ 1. \: 4.5x \times  - 4 \\ 2. \:  =  - 18x

5 0
3 years ago
Read 2 more answers
Can somebody please help me out please my grads are bad
Schach [20]

Step-by-step explanation:

Starting from the upper left in the clockwise direction:

congruent: no

similar: no

upper right side:

congruent: yes

similar: yes

lower right side:

congruent: no

similar: yes

lower left side:

congruent: yes

similar: yes

7 0
3 years ago
Other questions:
  • 6 dollars for 2 cans of tuna
    7·2 answers
  • Determine the value of x
    11·2 answers
  • I don’t know how to Order 1/2,3/5,4/10 from greatest to least
    12·2 answers
  • Jared and Zach are practicing their free throws. Jared attempted x shots and made 75% of them. Zach attempted 10 more shots than
    8·1 answer
  • How to solve 18 + 3(9f-13)
    8·2 answers
  • Toms games and more is having a special deal this week. Costumers can buy 5 games for $82.50. Henry buys 3 games for himself and
    11·1 answer
  • Please help quick! It is due in 20 min! Please help!
    10·1 answer
  • 1/3 of all the trick or treaters that came to your house were dressed as characters from Star Wars. 3/5 of those
    12·2 answers
  • Last month we had only five sunny days. There were 30 days in all last month.
    14·2 answers
  • Um chile anyways so...
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!