How do you evaluate # ( 5a ^ { 2} + 4a b - 3b ^ { 2} ) - ( - 5a b + 4b ^ { 2} + 3a ^ { 2} )#?

Question

544 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-11-28T03:13:35

See a solution process below:

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

#5a^2 + 4ab - 3b^2 + 5ab - 4b^2 - 3a^2#

Next, group like terms:

#5a^2 - 3a^2 + 4ab + 5ab - 3b^2 - 4b^2#

Now, combine like terms:

#(5 - 3)a^2 + (4 + 5)ab + (-3 - 4)b^2#

#2a^2 + 9ab + (-7)b^2#

#2a^2 + 9ab - 7b^2#