How do you simplify (x^2+x-6)/(2x^2)*(2x+8)/(x^2+7x+12)x2+x62x22x+8x2+7x+12?

1 Answer
May 27, 2017

(x-2)/x^2x2x2

Explanation:

[x^2+(3-2)x-6]/(2x^2)*[2(x+4)]/[x^2+(3+4)x+12]x2+(32)x62x22(x+4)x2+(3+4)x+12

rArr [x^2+3x-2x-6]/[(cancel 2)x^2]*[(cancel 2)(x+4)]/[x^2+3x+4x+12]

rArr{x(x+3)-2(x+3)}/x^2*(x+4)/[x(x+3)+4(x+3)]

rArr[(x+3)(x-2)]/x^2*(x+4)/[(x+3)(x+4)]

rArr[(x-2){cancel(x+3)cancel(x+4)}]/[x^2{cancel(x+3)cancel(x+4)}]

rArr (x-2)/x^2