Question

If x!=-3, which is an equivalent form of the following expression? (6x+7)/(2(x+3))-(2x+5)/(2(x+3))

Answer 1

To find an equivalent form of the expression (6x+7)/(2(x+3))-(2x+5)/(2(x+3)) when x is not equal to -3, we can simplify the expression by combining the terms with the same denominator.

Step-by-step explanation:

To find an equivalent form of the expression (6x+7)/(2(x+3))-(2x+5)/(2(x+3)) when x is not equal to -3, we can simplify the expression by combining the terms with the same denominator.

(6x+7)/(2(x+3))-(2x+5)/(2(x+3))

= (6x+7 - (2x+5))/(2(x+3))

= (6x+7 - 2x - 5)/(2(x+3))

= (4x + 2)/(2(x+3))

= 2x/(x+3) + 1/(x+3)