Question

How would the expression(x^2+4) (y^2+4) be rewritten using two squares?

Answer 1

(xy-4)^2+(2x+2y)^2 for Apex

Answer 2

Answer:

 $(xy+4)^2+(2x-2y)^2$

Step-by-step explanation:

Given:   $(x^2+4)(y^2+4)$

Solution:

Now we rewrite the equation using two squares

$(x^2+2^2)(y^2+2^2)$

multiply term by term,

$(xy)^2+(2x)^2+(2y)^2+(2.2)^2$

rearrange the order

$(xy)^2+(2.2)^2+(2y)^2+(2x)^2$

add and subtract 8xy

$(xy)^2+2(xy)(2.2)+(2.2)^2+(2y)^2-2(2y)(2x)+(2x)^2$

using formula  $(a+b)^2= a^2+2ab+b^2$

$(xy+4)^2+(2x-2y)^2$