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3 years ago

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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In the answer space below, provide the larger of the two positive integers that add up to 60 and have the largest possible produ

MAXImum [283]

Answer:

The two positive integers are 30 and 30

Step-by-step explanation:

Let

x------> the larger positive integer

y-----> the smaller positive integer

P----> the product o the two positive integers

we know that

$x+y=60$

$y=60-x$ -----> equation A

$P=xy$ ----> equation B

substitute equation A in equation B

$P=x(60-x)$

$P=60x-x^{2}$

This is the equation of a vertical parabola open downward

The vertex is a maximum

The y-coordinate of the vertex is the largest possible product

Using a graphing tool

The vertex is the point (30,900)

That means------> For $x=30$ The largest possible product is $900$

and

$y=60-x$ ------> $y=60-30=30$

therefore

The two positive integers are 30 and 30

5 0

3 years ago

Solve 5x=125.<br> X=25<br> x=3

Zolol [24]

Answer: X = 25

Step-by-step explanation: 5 * 25 = 125

5 0

3 years ago

A golfer shot 2 rounds of -4 each and then shot2 rounds of 2 each. What was the golfers composite score?

irakobra [83]

Answer:

Step-by-step explanation:

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3 0

2 years ago

Help pls I will give brainliest!

oee [108]

Answer:

We are missing 210

Step-by-step explanation:

3*4 = 12

3*70 =210

3*300=900

We are missing 210

8 0

2 years ago

Read 2 more answers

The jar only contains nickels and dimes altogether there are 10 coins total of the value is 90 cents how many nickels and how ma

lilavasa [31]

Write a system of equations and solve.

x + y = 10
5x + 10y = 90

Multiply and combine equations

-5x - 5y = -50
5x + 10y = 90
------------------
5y = 40
y = 8
x = 2

There are 2 nickels and 8 dimes in the jar. Hope this helps! :)

3 0

2 years ago

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

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