7x+1×2-36+3xx+6

Rewrite 36 as 62.

7x+1×2-62+3xx+6

Since both terms are perfect squares, factor using the difference of squares formula, a2-b2=(a+b)(a-b) where a=x and b=6.

7x+1(x+6)(x-6)+3xx+6

7x+1(x+6)(x-6)+3xx+6

To write 3xx+6 as a fraction with a common denominator, multiply by x-6x-6.

7x+1(x+6)(x-6)+3xx+6⋅x-6x-6

Multiply 3xx+6 and x-6x-6.

7x+1(x+6)(x-6)+3x(x-6)(x+6)(x-6)

Combine the numerators over the common denominator.

7x+1+3x(x-6)(x+6)(x-6)

7x+1+3x(x-6)(x+6)(x-6)

Apply the distributive property.

7x+1+3x⋅x+3x⋅-6(x+6)(x-6)

Multiply x by x by adding the exponents.

Move x.

7x+1+3(x⋅x)+3x⋅-6(x+6)(x-6)

Multiply x by x.

7x+1+3×2+3x⋅-6(x+6)(x-6)

7x+1+3×2+3x⋅-6(x+6)(x-6)

Multiply -6 by 3.

7x+1+3×2-18x(x+6)(x-6)

Subtract 18x from 7x.

-11x+1+3×2(x+6)(x-6)

Reorder terms.

3×2-11x+1(x+6)(x-6)

3×2-11x+1(x+6)(x-6)

Add (7x+1)/(x^2-36)+(3x)/(x+6)