(4x*squared*+11x) - [(8x - x) - ( - 3x*squared* + x)] = ?

1 Answer
Mrs. R
Jan 19, 2018

#x^2+5x#

Explanation:

#color(white)(aaaa)#Following BEDMAS we simplify inside the [ ] brackets. The negative sign between the inside brackets can be considered as multiplying the second set of brackets by (-1).
#color(white)(aaaa)#Just looking at that part of the expression,
#color(white)(aaaaaaaaaaaaaaaaaaa)# #-(-3x^2+x)=-1(-3x^2+x)#
#color(white)(aaaa)#Expanding the brackets and adding like terms,
#4x^2+11x-[(8x-x)-(-3x^2+x)]#
#=4x^2+11x-[7x-(-3x^2)-x]#
#=4x^2+11x-[7x+3x^2-x]#
#=4x^2+11x-7x-3x^2+x#
#=4x^2-3x^2+11x-7x+x#
#=x^2+5x#

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