Question

Simplify: 4x^2+11x+6/x^2+6x+8

Answer 1

Answer: (4x^2 + 17x^3 +8x^2 +36) / (x^2)

Explanation:

collect like terms and rewrite

4x^2 + 17x^ + (36/x^2) + 8

transform the expression

(4x^4 + 17x^3 + 36 + 8x^2) / (x^2)

reorder the terms

(4x^2 + 17x^3 +8x^2 +36) / (x^2)

Answer 2

Answer: (4x+3)/(x+4)

Explanation:

(4x^2+11x+6)/(x^2+6x+8)=

(4x^2+8x+3x+6)/(x^2+2x+4x+8)=

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

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