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3 years ago

How would the expression x^2-4 be rewritten using Difference of Squares?

1 answer:

3 0

a2 – b2 = (a + b)(a – b) or (a – b)(a + b).
This is the 'Difference of Squares' formula we can use to factor the expression.

In order to use the 'Difference of Squares' formula to factor a binomial, the binomial must contain two perfect squares that are separated by a subtraction symbol.

x^2 - 4 fits this, because x^2 and 4 are both perfect squares, and they are separated by a subtraction symbol.
All you do here to factor, is take the square root of each term.

√x^2 = x
√4 = 2

Now that we have our square roots, x and 2, we substitute these numbers into the form (a + b)(a - b).

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

Our answer is final (x + 2)(x - 2), which can also be written as (x - 2)(x + 2), it doesn't make a difference which order you put it in.

Anyway, Hope this helps!!
Let me know if you need help understanding anything and I'll try to explain as best I can.

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Select all equations that have infinitely many solutions.

ella [17]

Answer:

Step-by-step explanation:

Test Numbers with each equation or Simplify

Simplified, C's equation equates to 0 which would make it infinite

8 0

3 years ago

Read 2 more answers

What is the area of the square? Help me pls

Allushta [10]

Answer and Step-by-step explanation:

First, we need to find out the circumference of the circle.

We know that the circle has a radius of 1, and that we are finding the circumference. We'll use the circumference equation of a circle.

2 $\pi$ r

Plug in 1 for r.

$2\pi (1)$ = $2\pi$ = circumference of circle

Now, multiply the answer (the circumference) by 4 to get the perimeter of the square.

$2\pi$ x 4 = $8\pi$ = perimeter of square

Now, divide the perimeter by 4 to get what the side of the square is.

$8\pi$ ÷ 4 = $2\pi$

Now, multiply $2\pi$ by $2\pi$ (side times side) to get the area.

$2\pi$ x $2\pi$ = $4\pi$

The answer is A. $4\pi$

#teamtrees #PAW (Plant And Water)

I hope this helps!

Brainliest is appreciated,

8 0

2 years ago

This is my last question it’s due at midnight can I please get help in a hurry

Sophie [7]

N = 9

explanation: If you tilt triangle FGH to where it matches triangle PQR, 9 is matched with N.

more help:

Q = G

10.5 = 7

P = F

H = R

4 = 6

9 = N

5 0

3 years ago

hoa [83]

Ann recipe produces the sandwiches with the most peanut butter flavor

Step-by-step explanation:

The given is:

1. Ann uses 12 1/4 ounces of peanut butter to make 50 1/2 Sandwiches

2. Ben uses 7 1/4 ounces of peanut butter to make 48 1/2

3. Cal uses 15 1/2 ounces of peanut butter to make 85 1/2 sandwiches

To find whose recipe produces the sandwiches with the most peanut

butter flavor we must find the quantity of butter per sandwich in each

recipe

∵ Ann uses 12.25 ounces of peanut butter to make 50.5 Sandwiches

- Divide the quantity of butter by the number of sandwiches

∵ 12.25 ÷ 50.5 = 0.2426 ounce per sandwich

Ann recipe produces the sandwiches with 0.2426 ounce per sandwich

∵ Ben uses 7.25 ounces of peanut butter to make 48.5 Sandwiches

- Divide the quantity of butter by the number of sandwiches

∵ 7.25 ÷ 48.5 = 0.1495 ounce per sandwich

Ben recipe produces the sandwiches with 0.1495 ounce per sandwich

∵ Cal uses 15.5 ounces of peanut butter to make 85.5 Sandwiches

- Divide the quantity of butter by the number of sandwiches

∵ 15.5 ÷ 85.5 = 0.1813 ounce per sandwich

Cal recipe produces the sandwiches with 0.1813 ounce per sandwich

∵ The greatest quantity of butter per sandwich is 0.2426 ounce

∴ Ann recipe produces the sandwiches with the most peanut

butter flavor

Ann recipe produces the sandwiches with the most peanut butter flavor

Learn more:

You can learn more about the rate in brainly.com/question/317616

#LearnwithBrainly

3 0

3 years ago

Plz help asap... Explain as much as possible to me plz

Solnce55 [7]

Answer:

see explanation

Step-by-step explanation:

Since the 2 figures are similar then the ratios of corresponding sides are equal, that is

$\frac{8}{x}$ = $\frac{18}{6}$ ( cross- multiply )

18x = 48 ( divide both sides by 18 )

x = $\frac{48}{18}$ = $\frac{8}{3}$ = 2 $\frac{2}{3}$

Similarly

$\frac{5}{y}$ = $\frac{18}{6}$ ( cross- multiply )

18y = 30 ( divide both sides by 18 )

y = $\frac{30}{18}$ = $\frac{5}{3}$ = 1 $\frac{2}{3}$

3 0

3 years ago