How do you simplify #-( \frac { 2} { 3} a ) ^ { 3} + 2a ( \frac { 2} { 3} a ) ^ { 2}#?

1 Answer
Oct 25, 2017

#16/27a^3#

Explanation:

#"evaluate both parenthesis by raising each value inside"#
#"to the appropriate exponent"#

#rArr-(2^3/3^3xxa^3)+2a(2^2/3^2xxa^2)#

#=-(8/27xxa^3)+2a(4/9xxa^2)#

#=-8/27a^3+(8a)/9xxa^2#

#=-8/27a^3+8/9a^3#

#-8/27a^3+24/27a^3#

#=16/27a^3#