Question

Can someone check behind me? I have to turn y=x^2+10x+32 to vertex form my steps are followed

y=x^2+10x+32
y-32=x^2+10x
(x-5)(x-5)=x^2+10x+25
y-32+25=x^2+10x+25
y-7=x^2+10x+25
y-7=(x+5)^2
y=(x+5)^2+7

Answer 1

You missed one thing in your work:
you have (x-5)(x-5) on step 3, but you should have (x+5)(x+5)
the final answer is correct

Answer 2

Thank you sir with the spiderman profile! Much appreciated!