How do you simplify #(2ax + 1/2bx)^2 #?

1 Answer
Mar 18, 2018

Answer:

#color(magenta)((x^2(16a^2+8ab+b^2))/4#

Explanation:

#(2ax+1/2bx)^2#

#color(white)(aaaaaaaaaaaaa)##2ax+1/2bx#
#color(white)(aaaaaaaaaaa)## xx underline(2ax+1/2bx)#
#color(white)(aaaaaaaaaaaaa)##4a^2x^2+abx^2#
#color(white)(aaaaaaaaaaaaaaaaaaaa)##abx^2+1/4b^2x^2#
#color(white)(aaaaaaaaaaaaa)##overline(4a^2x^2+2abx^2+1/4b^2x^2)#

#color(white)(aaaaaaaaaaaaa)##:.=(4a^2x^2+2abx^2+1/4b^2x^2)xx4/4#

#color(white)(aaaaaaaaaaaaa)##:.=(16a^2x^2+8abx^2+b^2x^2)/4#

#color(white)(aaaaaaaaaaaaa)##:.color(magenta)(=(x^2(16a^2+8ab+b^2))/4#