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

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

Sum

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

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

= − 12x² − 10xy + 5y² − 7x² − 6xy − 2y²

= − 12x² − 7x² − 10xy − 6xy + 5y² − 2y²

= − 19x² − 16xy + 3y²

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