Standard form for both equation with steps

Question

16x^2-96x+144+25y^2=400

16x^2+192x+576+25y^2=1600

Answer 1

These are the same kind. I'll do one.
Do them by completing the square:

16x^2-96x+144+25y^2=400
16(x^2-6x+9) + 25y^2 = 400
16(x-3)^2 + 25y^2 = 400

Now divide by 400 and you have

(x-3)^2/25 + y^2/16 = 1