If P = − 12x2 – 10xy + 5y2, Q = 7x2 + 6xy + 2y2, and R = 5x2 + 2xy + 4y2 ; Find Q + P

If P = − 12x² – 10xy + 5y², Q = 7x² + 6xy + 2y², and R = 5x² + 2xy + 4y²; find Q + P

Sum

P = − 12x² – 10xy + 5y²Q = 7x² + 6xy + 2y²
R = 5x² + 2xy + 4y²

Q + P = (7x² + 6xy + 2y²) + (– 12x² – 10xy + 5y²)

= 7x²+ 6xy + 2y² – 12x² – 10xy + 5y²

= 7x – 12x² + 6xy – 10xy + 2y² + 5y²

= – 5x² – 4xy + 7y²

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