On solving the provided question we can that - the answer ig the given expressions are [tex](4x^2 + 5x + 6)/(x + 3)x\\[/tex] and [tex](x^2 + 11x + 6)/(x + 2)(x + 5)\\[/tex]
An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign.
On solving the below equation -
[tex]2x/(x + 2) - (x - 3)/(x + 5)\\= {2x(x + 5) - (x - 3)(x + 2) }/(x + 2)(x + 5)\\= { 2x^2 + 10x - (x^2 - x -6)}/(x + 2)(x + 5)\\= (x^2 + 11x + 6)/(x + 2)(x + 5)\\[/tex]
And also,
[tex]3x/(x + 3) + (x + 2)/x\\= (3x^2 + x^2 + 5x + 6)/(x + 3)x\\= (4x^2 + 5x + 6)/(x + 3)x\\[/tex]
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