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
Leno4ka [110]
3 years ago
10

Which will result in a difference of squares? (–7x + 4)(–7x + 4) (–7x + 4)(4 – 7x) (–7x + 4)(–7x – 4) (–7x + 4)(7x – 4)

Mathematics
2 answers:
maw [93]3 years ago
8 0

You can simply expand each product and see whether it gives you a difference of squares.


•  \mathsf{(-7x+4)\cdot (-7x+4)}

That's actually  \mathsf{(-7x+4)^2:}

     \mathsf{(-7x+4)^2}\\\\ \mathsf{=(-7x+4)\cdot (-7x+4)}\\\\ \mathsf{=(-7x+4)\cdot (-7x)+(-7x+4)\cdot 4}\\\\ \mathsf{=49x^2-28x-28x+16}

     \mathsf{=49x^2-56x+16}        <span>✖

which is not a difference of squares.

</span>————<span>—

</span>•  \mathsf{(-7x+4)\cdot (4-7x)}

     \mathsf{=(-7x+4)\cdot 4-(-7x+4)\cdot 7x}\\\\ \mathsf{=-28x+16-(-49x^2+28x)}\\\\ \mathsf{=-28x+16+49x^2-28x}

     \mathsf{=49x^2-56x+16}        ✖

which is not a difference of squares.

—————

•  \mathsf{(-7x+4)\cdot (-7x-4)}

     \mathsf{=(-7x+4)\cdot (-7x)-(-7x+4)\cdot 4}\\\\ \mathsf{=49x^2-28x-(-28x+16)}\\\\ \mathsf{=49x^2-\diagup\!\!\!\!\! 28x+\diagup\!\!\!\!\! 28x-16}\\\\ \mathsf{=49x^2-16}

     \mathsf{=(7x)^2-4^2}        <span>✔

That is a difference of two squares.

</span>————<span>—

</span>•  \mathsf{(-7x+4)\cdot (7x-4)}

     \mathsf{=(-7x+4)\cdot 7x-(-7x+4)\cdot 4)}\\\\ \mathsf{=-49x^2+28x-(-28x+16)}\\\\ \mathsf{=-49x^2+28x+28x-16}

     \mathsf{=-49x^2+56x-16}        <span>✖

</span>which is not a difference of squares.

—————

Only the  third option  will result in a difference of squares.


Answer:  (− 7x + 4) · (− 7x − 4).


I hope this helps. =)

Law Incorporation [45]3 years ago
3 0

Answer:

The expression which will result in difference of two squares is:

(–7x + 4)·(–7x – 4)

Step-by-step explanation:

We know that the formula of the type:

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

i.e. it is a difference of two square quantities. (a^2 and b^2)

Hence the option which satisfies the following expression is:

(-7x + 4)·(-7x-4)

since,

here a=-7x and b=4 and

(-7x+4).(-7x-4)=(-7x)^2-(4)^2=(7x)^2-4^2

so the expression is a difference of two square quantities:

(7x)^2 and 4^2

Hence, the correct answer is:

(-7x + 4)·(-7x-4)

You might be interested in
What is the value of cos theta subscript one
erik [133]
Ok so I really don’t know and I’m just doing this cause I have to do it for some reason so uhhhhhhhh yeah bye
8 0
2 years ago
Suppose A ={2, 5, 7, 9, 13, 25, 26}. True or False: <br><br> {1,2,3}⊆A
lbvjy [14]

Step-by-step explanation:

n(A) is the number of elements is A, sometimes written |A|.  I count 7.  n(A)=7

13 is among the elements of A, so 13 ∈ A  is TRUE

26 is among the elements of A, so 26 ∉ A   is FALSE

10 isn't in A, so 10 ∉ A  is TRUE

PLS MARK BRAINLEST

5 0
3 years ago
Estimate the area of the parallelogram.
lisov135 [29]
The answer to this is C. 72
5 0
3 years ago
Read 2 more answers
I understand the simple interest part, however I don’t understand the compounded interest part, need help quick.
Burka [1]
Compound interest is the starting amount x (1+ the interest rate as a decimal)^ the time in years=the final amount.

In your case, the equation will be $1000*(1+0.10)^how many years= the final amount.
7 0
3 years ago
Find the slope of the line that passed though the two points <br> (0,5) and (-9, -4)
OverLord2011 [107]

To find the slope, use the slope(m) formula:

m=\frac{y_2-y_1}{x_2-x_1}        and plug in the two points

(0, 5) = (x₁, y₁)

(-9, -4) = (x₂, y₂)

m=\frac{y_2-y_1}{x_2-x_1}

m=\frac{-4-5}{-9-0}

m=\frac{-9}{-9}    [two negatives cancel each other out and become positive]

m = 1      The slope is 1

6 0
3 years ago
Other questions:
  • XO
    13·1 answer
  • Y = tan(πx)<br><br> What is the inner and outer part of the Function?????
    6·1 answer
  • 7) Tim's high school played 11 football games this year. The team won most of
    14·2 answers
  • Seth traveled 1 mile in 57.1 seconds. About how fast does Seth travel in mph?
    14·2 answers
  • Find the volume of the shape
    12·2 answers
  • Which of the following expressions is not equivalent to 12x + 18y?
    13·1 answer
  • A pigeon can fly 800 meters in one minute. How far does a pigeon fly in 25 minutes?
    14·1 answer
  • The parabola is the graph for which parent function?​
    10·1 answer
  • Please refer to the attachment​
    12·1 answer
  • Como identifico una X Cubica en un polinomio
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!