How do you multiply #(5+x)^2#?

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Answer 1 · 2018-04-03T22:43:57

#x^2+10x+25#

#(x+5)^2#
#(x+5)(x+5)# ---> expand
#x^2+5x+5x+25#
#x^2+10x+25#

Answer 2 · 2018-04-04T00:41:58

Here is another method in solving the question;

Not that the formula goes like this, for example;

#(x + y)^2 = (x + y) (x + y)#

#(x + y)^2 = x^2 +xy +xy + y^2#

#(x + y)^2 = x^2 + 2xy + y^2#

#(x + y)^2 = x^2 + y^2 + 2xy - - - eqn#

Now having, #(5 + x)^2#

Where; #x = 5, and y = x#

Substituting the values into the equation..

#(5 + x)^2 = 5^2 + x^2 + 2(5)(x)#

#(5 + x)^2 = 25 + x^2 + 10x#

Therefore;

#(5 + x)^2 = x^2 + 10x + 25#