To simplify the expression (P^2 - g^2) / (3p + 3g), we first factor the numerator:
P^2 - g^2 = (P+g)(P-g)
Now the expression becomes:
((P+g)(P-g)) / (3p + 3g)
Factoring out a 3 from the denominator:
((P+g)(P-g)) / 3(P + g)
Now we can cancel out the common factor (P+g) from the numerator and denominator to get the simplified expression:
(P-g) / 3
To simplify the expression (P^2 - g^2) / (3p + 3g), we first factor the numerator:
P^2 - g^2 = (P+g)(P-g)
Now the expression becomes:
((P+g)(P-g)) / (3p + 3g)
Factoring out a 3 from the denominator:
((P+g)(P-g)) / 3(P + g)
Now we can cancel out the common factor (P+g) from the numerator and denominator to get the simplified expression:
(P-g) / 3