Question

If P = 6p2 - 7p + 4, Q = -4p2 - 5p - 7 and R = 7p2 + 9p + 8. Find the value of (P2 - Q2 + R2).

Answer 1

We can expand the expression (P2 - Q2 + R2) as follows:

P2 - Q2 + R2 = (6p^2 - 7p + 4)^2 - (-4p^2 - 5p - 7)^2 + (7p^2 + 9p + 8)^2
Expanding the squares:
P2 - Q2 + R2 = 36p^4 - 126p^3 + 140p^2 + 168p + 121

So, the value of (P2 - Q2 + R2) is 36p^4 - 126p^3 + 140p^2 + 168p + 121