Question

(x + 5)^2 + (n )^2= 25​

Answer 1

Step-by-step explanation:

(x+5)^2# is a sum of squares, #(a+b)^2=a^2+2ab+b^2#, where #a=x#, and #b=5#.

Expand.

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

Simplify.

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

You can also use the FOIL method to multiply two binomials.

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

#(x+5)(x+5)=x*x+x*5+5*x+5*5

Simplify.

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

Simplify.

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