## College Algebra (6th Edition)

The statement $(x-5)^2=x^2-5x+25$ is false. The correct statement is $(x-5)^2=x^2-10x+25$.
The square of a binomial can be found using the formula $(a-b)^2=a^2-2ab+b^2$. $$(x-5)^2=x^2-2(x)(5)+5^2$$ $$=x^2-10x+25$$ The statement $(x-5)^2=x^2-5x+25$ is false because the second term is incorrect. The correct statement is $(x-5)^2=x^2-10x+25$.