Question

How would the expression (x^2+1)(y^2+4) be rewritten using Two Squares?
A. (xy-2)^2+(x+2y)^2
B. (xy-2)^2+(2x+y)^2
C. (xy-2)^2-(4x+y)^2
D.(xy+2)^2+(x+2y)^2

Answer 1

y^2 x^2 + 4x^2 + y^2 + 4
(yx +2)^2 + (2x+y)^2

Answer 2

what

Answer 3

It doesn't make sense to you, right? and "How can I know that way", right?
Suggestion: just open parentheses the options (ONE BY ONE), and simplify them to see which one gives you the given expression.
That way doesn't ask you the experience or guessing.

Answer 4

I do A for you as example
A) \((xy-2)^2 +(x+2y)^2\\=(x^2y^2-4xy+4)+(x^2+4xy+4y^2)\\=x^2+4y^2+x^2y^2+4\)
while your give expression is
\((x^2+1)(y^2+4)=x^2y^2+4x^2+y^2+4\)
They are different, right? hence A is NOT the right answer.

Answer 5

ok thank you

Answer 6

its B

Answer 7

I gave you the way to do. You do it carefully and take responsibility for your work. I don't check.

Answer 8

I didn't say you did?

Answer 9

No, you didn't. Just gave the reason why I didn't say Yes or No for your answer.

Answer 10

ok