Am I foiling this right? The problem is (x-5)^2 and I got x^2-10x-10. Is that right?
x^2-10x+25
Qun was right.
To determine if you have factored the expression (x-5)^2 correctly, we can expand the original expression using the binomial square formula and compare it to your result.
The binomial square formula states that for any binomial expression (a-b)^2, the squared expression can be expanded as follows: (a-b)^2 = a^2 - 2ab + b^2.
Applying this formula to (x-5)^2, we have (x-5)^2 = x^2 - 2(x)(5) + 5^2.
Simplifying further, this becomes x^2 - 10x + 25.
Therefore, the correct expansion of (x-5)^2 is x^2 - 10x + 25, and your result of x^2 - 10x - 10 is not correct.
To avoid such errors when factoring squared binomials, remember to square both terms individually and then apply the binomial square formula.