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astra-53 [7]
2 years ago
6

5x 2 +5x x 2 −1 ​ What is an equivalent expression in lowest terms?

Mathematics
1 answer:
arsen [322]2 years ago
5 0

Answer:

Step-by-step explanation:

Explanation:

Start by writing out your starting expression

x

2

−

5

x

2

+

5

x

−

14

−

x

+

3

x

+

7

Next, factor the denominator of the first fraction

x

2

+

5

x

−

14

x

2

+

7

x

−

2

x

−

14

x

(

x

−

2

)

+

7

(

x

−

2

)

(

x

−

2

)

(

x

+

7

)

Your expression is thus equivalent to

x

2

−

5

(

x

−

2

)

⋅

(

x

+

7

)

−

x

+

3

x

+

7

Since you have to subtract two fractions, you need to find the commonon denominator first. To do that, multiply the second fraction by  

x

−

2

x

−

2

x

2

−

5

(

x

−

2

)

⋅

(

x

+

7

)

−

(

x

+

3

)

⋅

(

x

−

2

)

(

x

−

2

)

⋅

(

x

+

7

)

This will get you

x

2

−

5

−

(

x

+

3

)

(

x

−

2

)

(

x

−

2

)

(

x

+

7

)

x

2

−

5

−

x

2

−

x

+

6

(

x

−

2

)

(

x

+

7

)

=

1

−

x

(

x

−

2

)

(

x

+

7

)

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