How do you combine like terms in #(- 5d ^ { 2} - d - 5) - ( 8+ 2d )#?

1 Answer
Apr 27, 2018

#color(brown)(=> -(5d^2 + 3d + 13)#

Explanation:

#(-5d^2 - d - 5) - (8 + 2d)#

#=> -5d^2 - d - 5 - 8 - 2d, " removing braces"#

#=> -5d^2 - d - 2d - 5 - 8, " rearranging like terms together"#

#=> -5d^2 - (1 + 2)d - (5 + 8), " combining like terms"#

#=> -5d^2 - 3d - 13#

#=> -(5d^2 + 3d + 13)#