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

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

Sum

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

P – Q + R = (– 12x² – 10xy + 5y²) – (7x² + 6xy + 2y²) + (5x² + 2xy + 4y²)

= – 12x² – 10xy + 5y² – 7x²– 6xy – 2y² + 5x² + 2xy + 4y²

= – 12x² – 7x² + 5x² – 10xy – 6xy + 2xy + 5y² – 2y² + 4y²

= – 14x² – 14xy + 7y²

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