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

2 Answers
Apr 3, 2018

Answer:

#x^2+10x+25#

Explanation:

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

Apr 4, 2018

Answer:

Here is another method in solving the question;

Explanation:

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#