Question #49a3a

2 Answers
Jan 29, 2018

#55a^2+24a-16#

Explanation:

If I understood you correctly you mean
#(7a+a)^2-(-4+3a)^2#
otherwise feel free to correct me.
1. Calculate #7a+a#

#7a+a=8a#

  1. Square the brackets using the binomial formula

#(a+b)^2=a^2+2ab+b^2#

#(8a)^2-(3a-4)^2=8^2a^2-(3^2a^2-4*3*2a+4^2)#

  1. Simplify

#8^2a^2-(3^2a^2-4*3*2a+4^2)=64a^2-9a^2+24a-16=55a^2+24a-16#

Jan 29, 2018

# -2a^2 +7a+4#

Explanation:

In the absence of any formatting, the meaning of the question is not clear. Here is another interpretation which I think is more likely because there is nothing to indicate that the given powers are for the whole expressions.

We have: second expression minus the first expression:

#(7a+a^2) color(blue)(- (-4+3a^2))#

#=7a+a^2 color(blue)(+4-3a^2)" "larr# multiply out the bracket

#= -2a^2 +7a+4" "larr# simplify the like terms.