How do you combine like terms in #(6k ^ { 4} - 6+ 4k ) - ( 8+ 4k + 3k ^ { 4} )#?

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Answer 1 · 2017-04-06T22:04:57

See the entire solution process below:

First, remove all of the terms from parenthesis. Be careful to handle the signs of each individual term correctly:

#6k^4 - 6 + 4k - 8 - 4k - 3k^4#

Next, group like terms:

#6k^4 - 3k^4 + 4k - 4k - 8 - 6#

Now, combine like terms:

#(6 - 3)k^4 + (4 - 4)k - 14#

#3k^4 + 0k - 14#

#3k^4 - 14#

Answer 2 · 2017-04-06T22:06:46

use the distributive property to spread the negative sign across the parenthesis and the commutative property to move like terms together.

# 6k^4 - 6 + 4k - (8 + 4k -3k^4 )= 6k^4 -6 + 4k -8 - 4k - 3k^4#

Using the communicative property to combine like terms results in

# 6k^4 - 3k^4 + 4k - 4k -6 -8 # Solving the addition and subtraction =

# 3k^4 -14#