Question

algebraic expressions ​

Answer 1

P = 2m^2 + n^2 - 6

Q = m^2 - 6n^2 + 8

R = 4m^2 + 3n^2 + 2

so, 2P + Q + 3R

= 2(2m^2 + n^2 - 6) + m^2 - 6n^2 + 8 + 3(4m^2 + 3n^2 + 2)

= 4m^2 + 2n^2 - 12 + m^2 - 6n^2 + 8 + 12m^2 + 9n^2 + 6)

= (17m^2 + 5n^2 + 2)