How do you simplify #6y (5y - 8) + 42y#?

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Answer 1 · 2018-05-27T13:52:47

#30y^2 - 6y#

#6y(5y - 8) + 42y#

First, distribute #6y# to the terms inside the parentheses, #5y# and #-8#. To do this, multiply each term by #6y#.

#6y * 5y = 30y^2#
#6y * -8 = -48y#

Re-write the equation to reflect new information:

#30y^2 - 48y + 42y#

Now, combine like terms. #-48y# and #42y# are like terms, so add them together:

#-48y + 42y = -6y#

Therefore, your simplified expression is:

#30y^2 - 6y#