Simplify 4a-5b-6a+7b ?

1 Answer
Feb 21, 2018

Check answers below.

Explanation:

1) #4a-5b-6a+7b#
First, place together all like terms (those with same variables, exponents, etc.)
= #4a-6a-5b+7b#
Simplify by doing the operations.
#4a-6a# = #-2a# and #-5b+7b# =#2b#
And when you put them together, you get:
#-2a+2b#.

*Realized that when I posted this you shortened the question to only answer one problem (above) so don't mind the rest down below unless you need answers for your other (deleted) problems.


2) #15n+3n^4-4n+12n^4+n#
Do the same thing we did in 1)
= #3n^4+12n^4+15n-4n+n#
= #15n^4+12n#

3) #12n-2n^4-10n-2n^4+n#
Same process.
= #-2n^4-2n^4+12n-10n+n#
= #-4n^4+3n#

4) #5n+6n^4-7n+15n^4+13n#
Same process.
= #6n^4+15n^4+5n-7n+13n#
= #21n^4+11n#

5) 40 quarters, 30 dimes, 20 nickels, 10 pennies
#40*25# cents = #1000# cents
#30*10# cents = #300# cents
#20*5# cents = #100# cents
#10*1# cent = #10# cents

#1000+300+100+10# cents
= #1410# cents
or #$14.10#.

**take note for number 5 that I do not use the US currency so you might need to double check this answer

Hope this helped!