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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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2. There are 5 students 14 years old 7 grade

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3 years ago

Solve 4/7- (-4/7)<br>A. 8/7<br>B.-8/7<br>C.-4/7<br>D.4/7

mart [117]

Answer:

A. 8/7

Step-by-step explanation:

4/7 - (-4/7) --> 4/7 + 4/7

The two minutes turn into a plus, removing the bracket.

4/7 + 4/7 = 8/7

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1 year ago

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A recipe takes 90 minutes to make 25% of the time he spent preparing the ingredients how many minutes are spent preparing

gizmo_the_mogwai [7]

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3 years ago

The sum of two numbers is "-1" One number is 12 more than the other one. Find the numbers.

ruslelena [56]

Answer:

x = 5.5

y = - 6.5

Step-by-step explanation:

Let one of the numbers = x

Let the other number = y

x + y = - 1

x = y + 12 Put the second equation into the first one

y + 12 + y = - 1 Subtract 12 from both sides

y + y = - 1 - 12 Combine both left and right sides

2y = - 13 Divide by 2

2y/2 = - 13/1

y = - 6.5

x + y = - 1

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3 years ago

Given A(3, 4), B(4, 3) and C(2, 1), what are the coordinates of C', the image of C under a rotation of 90 degrees about the orig

Aleks [24]

<u>Given</u>:

The coordinates of the points A, B and C are (3,4), (4,3) and (2,1)

The points are rotated 90° about the origin.

We need to determine the coordinates of the point C'.

<u>Coordinates of the point C':</u>

The general rule to rotate the point 90° about the origin is given by

$(x, y) \Rightarrow(-y, x)$

Substituting the coordinates of the point C in the above formula, we get;

$(2, 1) \Rightarrow(-1, 2)$

Therefore, the coordinates of the point C' is (-1,2)

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3 years ago

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

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