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33 votes
33 votes
3

Select all the correct answers.
Which factors compose the least common denominator for this difference?
115
32 + 48 - 12
2:2
45
(x - 6)
(x - 2)
2:
(3 - 4)
(3 + 2)
(5 + 6)

3 Select all the correct answers. Which factors compose the least common denominator-example-1
User Bytesized
by
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2 Answers

19 votes
19 votes

Answer:

2nd, 3rd and 6th

Explanation:

Factorise the denominators of both fractions

x² + 4x - 12 = (x + 6)(x - 2)

2x² - 4x = 2x(x - 2)

The least common denominator is then

2x(x - 2)(x + 6)

User MrCarnivore
by
3.0k points
17 votes
17 votes

Answer:

The factors that compose the LCF of the difference are :

2x
\huge\checkmark

(x - 2)
\huge\checkmark

(x + 6)
\huge\checkmark

Explanation:

x² + 4x - 12 = x² - 2x + 2x + 4x - 12

= x² - 2x + (6x - 12)

= x(x - 2) + 6(x - 2)

= (x - 2)(x + 6)

2x² - 4x = 2x(x - 2)

We get

2x² - 4x = 2x(x - 2)

x² + 4x - 12 = (x - 2)(x + 6)

then

The least common denominator is 2x(x - 2)(x + 6)

User Melissa Key
by
2.8k points