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Over [174]
3 years ago
13

Factor completely. x^3 - y^3

Mathematics
1 answer:
finlep [7]3 years ago
8 0
(x-y)(x^2+xy+y^2)

The first parentheses contain the cubed root of both the terms so x and y respectively. second parentheses follows the formula (a^2 + ab + b^2)
x corresponds to a and y corresponds to b. The signs are what change depending on what the original equation is. Since the original is a subtraction then the signs are -/+/+. you can remember it using the acronym SOAP. (S = same, O = opposite, AP = always positive) So the first sign is x - y (same as subtraction from original), the second and third are x^2 + xy + y^2 (opposite is a plus, and the last sign is always a positive.
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How does the order of operations relate to solving multi-step equations? Use examples of solving an equation, and then evaluatin
givi [52]
The order of operations helps keep answers for multi-step equations similar. If the proper order of operations are not followed, then answers may vary. To show an example:

4 / 2 - 1

The proper order of operations would be:

Divide first, before subtracting
4 / 2 - 1
2 - 1
1

But if subtracting was done before dividing:

4 / 2 - 1
4 / 1
4

So not following the proper order would yield different and erroneous answers.
6 0
4 years ago
What is the exact circumference of a circle with a radius of 12 inches?
Anestetic [448]
We can get the circumference of any circle in terms of the radius with this formula. C = 2\pir.

Where r is the radius of the circle.

And we will use 3.14 for \pi.

Plug in all the values.

C = 2 * 3.14 * 2

C = 12.56

So, the circumference of the circle is 12.6 inches when rounded to the nearest tenth.
8 0
3 years ago
Read 2 more answers
Please help, i will mark as brainliest
harina [27]

Answer:

3.75 L

Step-by-step explanation:

3 liters / 36 m^2 = x liters / 9 x 5 m^2

3 liters / 36 m^2 = x liters / 45 m^2

(45)(3) = (x)(36)

(135) = (x)(36)

x = (135)/(36)

x= 3.75 L

4 0
2 years ago
Write a function rule for the area of rectangle whose length is 2ft more than its width. What is the area of the rectangle when
Marianna [84]

According to the problem, the length is 2 feet more than its width, which is expressed as the following function

l=w+2

If the width is x, then the length is x+2.

We can express the following function for the area

A(x)=x(x+2)

Let's replace the width x = 11 ft.

A(11)=11\cdot(11+2)=11(13)=143<h2>Hence, the area is 143 square feet. </h2><h2>The function for the area is</h2>A(x)=x(x+2)

Where x represents the width.

3 0
1 year ago
Anyone good at Ks3 maths
MaRussiya [10]

Answer:

{ \tt{distance =  speed \times time}} \\ { \tt{ = 56 \times 3 \frac{1}{2} }} \\  = { \tt{196 \: miles}}

5 0
3 years ago
Read 2 more answers
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