Question

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

Answer 1

The solution is 1/(x+1)

From the question, we have

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

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

=(x^2+4)/(x^2 (x^(3-2)+1)+2^2 (x+1))

=(x^2+4)/(x^2 (x+1)+2^2 (x+1))

=(x^2+4)/((x+1)((x^2 (x+1))/(x+1)+(2^2 (x+1))/(x+1)) )

=(x^2+4)/((x+1)(x^2+2^2 ) )

=(x^2+4)/((x+1)(x^2+4) )

=1/(x+1)

The solution is 1/(x+1)

Divide:

Split is to divide into two or more equal sections, places, groupings, or divisions in its most basic form. To divide something simply means to provide it to a group in equal quantities or to cut it up into equal pieces. Let's imagine a diagonal divides a square into two triangles with equal areas. An integer may or may not be the result of a division operation. Sometimes the result will be expressed as decimal numbers.

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