If x > 3, which of the following is equivalent to
1 over
1/x+2 plus 1/x+3?

A. 2x+5 over x squared +5x +6
B. x squared +5x +6 over 2x +5
C. 2x +5
D. x squared + 5x + 6

Answers

Answer 1

The expression that is equivalent is; 2x+5/x^2 + 5x + 6

What is an equivalent expression?

An equivalent expression is a different mathematical expression that has the same value as the original expression. In other words, if you evaluate both expressions, you will get the same result.

Given that;

1/x + 2 + 1/x + 3

(x + 3) + (x + 2)/(x + 2) (x + 3)

2x + 5/(x + 2) (x + 3)

2x + 5/x^2 + 3x + 2x + 6

2x + 5/x^2 + 5x + 6

Thus the equivalent expression is given as;

2x + 5/x^2 + 5x + 6

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