How do you combine like terms in #(7v ^ { 2} + 3) - ( v ^ { 2} - 4v + 2)#?
1 Answer
Dec 31, 2016
Simplified equation:
Explanation:
We can think of this as being of the form:
#(7v^2+3)+[-1(v^2-4v+2)]#
Begin by distributing the negative sign to the parentheses on the right-hand side of the equation. Recall that multiplying a negative by a positive yields a negative result and multiplying two negatives yields a positive result.
#(7v^2+3)+(-v^2+4v-2)#
Recall that adding a negative is equivalent to subtracting a positive. We can rewrite:
#color(blue)(7v^2)+color(purple)(3)color(blue)(-v^2)+4vcolor(purple)(-2)#
Like terms have been color-coded. Combine like terms:
#=>6v^2+4v+1#
