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SOVA2 [1]
3 years ago
11

Use FOIL and the distributive property to derive (a-b)^3​

Mathematics
1 answer:
Sergio039 [100]3 years ago
4 0

Answer:

(a-b)^3 = \left(a-b\right)^3=a^3-3a^2b+3ab^2-b^3

Step-by-step explanation:

(a-b)^3 = (a-b)(a-b)(a-b)

According to the perfect cube formula (a-b)^3 = \left(a-b\right)^3=a^3-3a^2b+3ab^2-b^3

And there you have it! The perfect cube formula already solved your equation!

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What is the length of EF?
pantera1 [17]

Answer:

  (a)  3.8

Step-by-step explanation:

The Law of Sines can be used to find a missing side length in a triangle where the angles are known and at least one side is given. It tells you the ratio of side lengths is equal to the ratio of the sines of their opposite angles. In effect, longer sides are opposite larger angles.

__

<h3>compare angles</h3>

The given side length (DE=3) is opposite given angle F=50°. The unknown side length EF is opposite larger angle D=75°.

<h3>compare sides</h3>

Since the unknown side is opposite a larger angle than the other angle given, the length of the unknown side will be longer than the side given.

  EF > DE

  EF > 3

Only one answer choice satisfies this inequality.

  EF = 3.8

__

<em>Additional comment</em>

If you want to do the actual computation, we have ...

  EF/sin(D) = DE/sin(F)

  EF = DE·sin(D)/sin(F) = 3·sin(75°)/sin(50°) ≈ 3.7828

  EF ≈ 3.8

7 0
2 years ago
M(x)=x(x+6)<br> p(x)=x(x+3)²-9<br><br> Show that m(x) and p(x) are equivalent
mamaluj [8]

Answer:

m=x+6

Step-by-step explanation:

Let's solve for m.

mx=x(x+6)

Step 1: Divide both sides by x.

2x/x=    x²+6x/x

m=x+6

Hope this helps :)

PLS BRAINLIEST

5 0
3 years ago
17.9<br> find the two square roots of the number
allochka39001 [22]

Answer: 27.9 let me know if you need a another answer I hope this helps!

6 0
3 years ago
What is the slope-intercept form of an equation for a line with a y-intercept of –5 and a slope of 2?
Inga [223]

Answer: y=2x-5. so it's 2

remember the following equation: y=mx+b.

the slope is always m, the y intercept is b.

5 0
3 years ago
5*213 is a 5 digit number replace the * number by smallest digit to make them divisible by 3​
Elina [12.6K]

Answer:

1

Step-by-step explanation:

that is the answer

because 51213÷3=17071

7 0
2 years ago
Read 2 more answers
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