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UkoKoshka [18]
2 years ago
8

Factor the polynomial expression 4x3 - 4.

Mathematics
1 answer:
Sloan [31]2 years ago
3 0
<h3>Answer:  4(x - 1)(x^2 + x + 1)</h3>

==================================================

Work Shown:

4x^3 - 4

4(x^3 - 1)

4(x - 1)(x^2 + x + 1)

In the last step, I used the difference of cubes factoring formula which is

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

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Which expressions represent rational numbers? select all the apply. startroot 100 endroot startroot 100 endroot 13.5 startroot 8
zlopas [31]

The expressions are irrational 1/3 + √216 and √64+ √353 and the expressions √100 × √100, 13.5 + √81, √9 + √729, and 1/5 + 2.5 are rational number.

<h3>What is a rational number?</h3>

If the value of a numerical expression is terminating then they are the rational number then they are called the rational number and if the value of a numerical expression is non-terminating then they are called an irrational number.

1.  √100 × √100

→ √100 × √100

→ 10 × 10 = 100

This is a rational number.

2.  13.5 + √81

→ 13.5 + √81

→ 13.5 + 9 = 22.5

This is a rational number.

3.  √9 + √729

→ √9 + √729

→ 3 + 27 = 30

This is a rational number.

4.  √64+ √353

→ √64 + √353

→ 8 + √353

This is an irrational number.

5.  1/3 + √216

→ 1/3 + √216

→ 1/3 + √216

This is an irrational number.

6.  1/5 + 2.5

→ 1/5 + 2.5

→ 0.2 + 2.5 = 2.7

This is a rational number.

More about the rational number link is given below.

brainly.com/question/9466779

7 0
2 years ago
Negative four and one third ÷ two and one fifth
3241004551 [841]

The solution to the given expression negative four and one third ÷ two and one fifth is -1 32/33

<h3>Fraction division</h3>

negative four and one third ÷ two and one fifth

-4 1/3 ÷ 2 1/5

= -13/3 ÷ 11/5

  • Multiply by the reciprocal of 11/5

  • The reciprocal of 11/5 is 5/11

= -13/3 × 5/11

= (-13 × 5) / (3 × 11)

= -65 / 33

= -1 32/33

Therefore, the solution to the fraction is -1 32/33

Learn more about fraction:

brainly.com/question/11562149

#SPJ1

5 0
1 year ago
Read 2 more answers
A triangle has side lengths 8, 11, and 13. Is it a right triangle?
amid [387]

Answer:

It is not a right triangle. It is an obtuse triangle.

Step-by-step explanation:

6 0
3 years ago
Five friends plan to split a restaurant bill evenly. The total cost of the meal is $89.75, and they want to leave a 20% tip. Wha
nlexa [21]
The amount each friend should leave is $3.59 each
4 0
3 years ago
I need help with this question -3/8 + 1/6
AlladinOne [14]

Answer:

5/24

Step-by-step explanation:

4 0
3 years ago
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