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

Question

Avery Alexander · Accepted Answer

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#

Nathan Axel · Answer

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#

Jameson Allen · Answer

undefined To combine like terms in the expression (6k^4 - 6 + 4k) - (8 + 4k + 3k^4), first, distribute the negative sign to each term inside the parentheses of the second expression. Then, combine like terms:

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

Now, combine like terms:
= (6k^4 - 3k^4) + (4k - 4k) + (-6 - 8)
= 3k^4 + 0k + (-14)
= 3k^4 - 14