How do you combine like terms in #(7- 4k ^ { 2} + k ) + ( 8k + 5k ^ { 2} - 7)#?

1 Answer
Suren Abreu
Nov 15, 2016

#k^2+9k#

Explanation:

In the given equation, open the brackets and align the like terms with their positive or negative value (or sign). Remember that the product of a positive and a negative is a negative.

#(7-4k^2+k)+(8k+5k^2-7)#

#7-4k^2+k+8k+5k^2-7#

#-4k^2+5k^2+k+8k+7-7#

#(-4k^2+5k^2)+(k+8k)+(7-7)#

Add or subtract according to the value of the like terms in the brackets and then remove the brackets.

#(k^2)+(9k)+(0)#

#k^2+9k+0#

#k^2+9k#

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