How do you combine like terms in #(4t ^ { 2} - 3t - 6) + ( t ^ { 2} - 7t + 5)#?

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Answer 1 · 2017-01-03T13:03:41

See the entire process to combine like terms below:

The first step is to take all of the terms out of the parenthesis being sure to manage the signs correctly:

#color(red)(4t^2) - color(blue)(3t) - color(green)(6) + color(red)(t^2) - color(blue)(7t) + color(green)(5)#

Next group like terms together:

#color(red)(4t^2) + color(red)(t^2) - color(blue)(3t)- color(blue)(7t) - color(green)(6) + color(green)(5)#

Now combine like terms:

#color(red)((4 + 1)t^2) + color(blue)((-3 - 7)t) + color(green)((-6 + 5)) ->#

#color(red)(5t^2) + color(blue)((-10t)) + color(green)((-1)) ->#

#color(red)(5t^2) - color(blue)(10t) - color(green)(1)#