Simplify 7x+42/x^2+13+42

First you will need to add 13 and 42. Which equals 55. Using the equation a=a/1, convert the expression into a fraction. Where you will get 7x/1+42/x^2+55/1. Expand the fraction to get the least common denominator (X^2•7x/x^2•1 + 42/x^2 + x^2•55/x^2•1). Calculate the product (x^2•7x) = 7x^3. Remember that any expression multiplied by one remains the same (x^2•1) = x^2. Used the commutative property to reorder the terms of (x^2•55) = 55x^2. (7x^3/x^2 + 42/x^2 + 55x^2/x^2)

Then you will write all the numerators above the common denominator.

The answer will be 7x^3+42+55x^2 / x^2

First let's factor the bottom

= (x+7) (x+6)

So now the equation is 7x+42 / (x+7) (x+6)

Now factor out the 6 on top

7x+42 = 7 (x+6)

Now equation is 7 (x+6) / (x+7) (x+6)

The (x+6) will cancel out and your left with the answer

= 7/x+7