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

1 answer
Question:

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

Answers

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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