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

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Answer 1 · 2016-04-28T12:18:23

#x^2+8x+16#

Write as: #color(brown)((x+4)color(blue)((x+4)))#

Write as: #color(blue)(color(brown)(x)(x+4)color(brown)(+4)(x+4))#

Consider #x(x+4)#
Multiply everything inside the bracket be #x#
#x^2+4x#

Consider #+4(x+4)#
Multiply everything inside the bracket by (+4)
#4x+16#

Putting it all together

#(x^2+4x)+(4x+16)#

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

#x^2+8x+16#