How do you simplify $(x + 5)^2$ ?

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Answer 1 · 2016-08-28T04:19:21

$(x+5)=color(blue)(x^2+10x+25)$

$(x+5)^2$ 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.

http://www.mesacc.edu/~scotz47781/mat120/notes/polynomials/foil_method/foil_method.html

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

$(x+5)(x+5)=x*x+x*5+5*x+5*5$

Simplify.

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

Simplify.

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

How do you simplify (x + 5)^2(x + 5)^2?