Question

​ G=−3w 4 +2w 2 z 2 +5z 4 P=8w 4 −3w 2 z 2 +z 4 ​ P-G=P−G=P, minus, G, equals Your answer should be a polynomial in standard form.

Answer 1

Please take the time to type in the question by yourself.  I assume you use some kind of an apps to transcribe problems.  It only confuses and discourages helpers.  The fact that the question was reported means it is not clear.

I ASSUME the question is as follows:
$G=-3w^4+2w^2z^2+5z^4$
$P=  8w^4-3w^2z^2+z^4$
Need to find P-G.

We see clearly that each expression P, G contains 3 terms, namely w^4, w^2z^2 and z^4.  We will have to add/subtract like terms to get the answer.

$P-G=8w^4-3w^2z^2+z^4-(-3w^4+2w^2z^2+5z^4)$
$=8w^4-3w^2z^2+z^4+3w^4-2w^2z^2-5z^4)$  (distribute negative sign into expression G)
$=8w^4+3w^4-3w^2z^2-2w^2z^2+z^4-5z^4$  (group like terms)
$=11w^4-5w^2z^2-4z^4$  (add/subtract like terms)