How do you simplify #(x + 4)^2#?

1 Answer
Jul 1, 2017

Answer:

#x^2+8x+16#

Explanation:

#"each term in the second bracket must be multiplied by each"#
#"term in the first bracket"#

#rArr(x+4)^2=(x+4)(x+4)#

#rArr(color(red)(x+4))(x+4)#

#=color(red)(x)(x+4)color(red)(+4)(x+4)#

#=(color(red)(x)xx x)+(color(red)(x)xx4)+(color(red)(4)xx x)+(color(red)(4)xx4)#

#=x^2+4x+4x+16#

#=x^2+8x+16#