the sum. d^2+d-30/d^2+3d-40 + d^2+14d+48/d^2-2d-48 A. d^2+14d+16 / (d+8)(d-8) B. 2d^2+14d+16/(d+8)(d-8) C. 2d^2+15d+18/(d+8)(d-8)

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Asked 10/1/2012 8:04:19 PM

Updated 4/24/2014 12:41:55 AM

1 Answer/Comment

Flagged by yeswey [4/24/2014 12:41:55 AM]

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Question

Asked 10/1/2012 8:04:19 PM

Updated 4/24/2014 12:41:55 AM

1 Answer/Comment

Flagged by yeswey [4/24/2014 12:41:55 AM]

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3

(d^2+d-30)/(d^2+3d-40) + (d^2+14d+48)/(d^2-2d-48)

= (d - 5)(d + 6)/(d + 8)(d - 5) + (d + 6)(d + 8)/(d - 8)(d + 6)

= (d + 6)/(d + 8) + (d + 8)/(d - 8)

= (d + 6)(d - 8)/(d + 8)(d - 8) + (d + 8)(d + 8)/(d - 8)(d + 8)

= (d^2 - 2d - 48)/(d + 8)(d - 8) + (d^2 + 16d + 64)/(d + 8)(d - 8)

= (2d^2 + 14d + 16)/(d + 8)(d - 8)

= (d - 5)(d + 6)/(d + 8)(d - 5) + (d + 6)(d + 8)/(d - 8)(d + 6)

= (d + 6)/(d + 8) + (d + 8)/(d - 8)

= (d + 6)(d - 8)/(d + 8)(d - 8) + (d + 8)(d + 8)/(d - 8)(d + 8)

= (d^2 - 2d - 48)/(d + 8)(d - 8) + (d^2 + 16d + 64)/(d + 8)(d - 8)

= (2d^2 + 14d + 16)/(d + 8)(d - 8)

Added 4/24/2014 12:41:51 AM

This answer has been confirmed as correct and helpful.

Confirmed by jeifunk [4/24/2014 12:43:37 AM]

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Updated 7/30/2014 10:03:25 AM

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16x^2 - 25 = (4x + 5)(4x - 5)

Added 7/30/2014 10:03:25 AM

This answer has been confirmed as correct and helpful.

Confirmed by andrewpallarca [7/30/2014 10:05:16 AM]

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