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4 years ago

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

Mathematics

1 answer:

Sergio039 [100]4 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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4 years ago

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Answer:

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3 years ago

The initial cost of an office fax machine is $100. After 1 year, its value becomes $80. Which is the correct linear depreciation

Elis [28]

Answer:

$y=100-20x$

Step-by-step explanation:

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Now we can find the slope of the line passing through those two points using the slope formula

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$(x_1,y_1)$ are the coordinates of the first point

$(x_2,y_2)$ are the coordinates of the second point

Replacing values:

$m=\frac{80-100}{1-0}$

$m=-20$

Now, to complete our model we are using the point slope formula

$y-y_1=m(x-x_1)$

where

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Replacing values:

$y-100=-20(x-0)$

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3 years ago

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Answer:

x = 125 degrees

Step-by-step explanation:

The vertical angles theorem states that two angles opposite to each other that are formed from 2 intersecting lines are congruent.

Therefore, angle x and the angle that is 125 degrees are congruent to each other.

So, x=125 degrees.

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4 years ago

A trunk can carry up to 207 kilograms of cargo. A brick has a mass of 4 kilograms. What is the maximum number of bricks the truc

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4 years ago

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

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