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Effectus [21]
3 years ago
12

Factor this expression completely. u^3 - v^3

Mathematics
1 answer:
Musya8 [376]3 years ago
7 0

Completely factored form of u^3-v^3 is:

(u-v)(u^2+uv+v^2)

Step-by-step explanation:

Algebraic formulas are used to factorize the expression.

Given

u^3 - v^3

The formula involving cube with negative sign is:

a^3-b^3 = (a-b)(a^2+ab+b^2)

Using this formula:

u^3-v^3 = (u)^3 - (v)^3\\= (u-v)(u^2+uv+v^2)

Hence,

Completely factored form of u^3-v^3 is:

(u-v)(u^2+uv+v^2)

Keywords: Factorization

Learn more about factors at:

  • brainly.com/question/13063819
  • brainly.com/question/13219835

#LearnwithBrainly

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Which are two ways to represent the slope, m, of the line shown?
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A is the correct answer
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3 years ago
Identify the constants in the expression: 7-5x+1?For 6th grade.
erik [133]

Answer:

The constants are 7 and 1

Step-by-step explanation:

7 0
3 years ago
Bob has two weekend jobs last weekend he made a total of $77 after working as a cashier for 5 hours and delivering newspapers fo
OlgaM077 [116]

Answer: $9 per hour at his job as a cashier and $8 per hour at his job delivering newspapers.

Step-by-step explanation:

1. Let's call the amount he got paid per hour at his job as a cashier: x.

Let's call the amount he got paid per hour at his job delivering newspapers: y.

2. Keeping on mind the information given in the problem above, you can make the following system of equations:

\left \{ {{5x+4y=77 \atop {6x+3y=78}} \right.

3. You can solve it by applying the Substitution method, as following:

- Solve for one of the variables from one of the equations and substitute it into the other equation to solve for the other variable and calculate its value.

- Substitute the value obtained into one of the original equations to solve for the other variable and calculate its value.

 4. Therefore, you have:

5x+4y=77\\5x=77-4y\\x=\frac{77-4y}{5}=15.4-0.8y

Then:

6(15.4-0.8y)+3y=78\\92.4-4.8y+3=78\\-1.8y=-14.4\\y=8

Finally:

5x+4(8)=77\\5x+32=77\\5x=45\\x=9

Therefore he got paid $9 per hour at his job as a cashier and $8 per hour at his job delivering newspapers.

5 0
3 years ago
Round 7.4521 to 2 significant figures
Troyanec [42]
7.5 would be my best guess
5 0
3 years ago
Read 2 more answers
What is the value of 5⁸
zimovet [89]

Answer:

390625

Step-by-step explanation:

5x5x5x5x5x5x5x5

6 0
3 years ago
Read 2 more answers
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