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+ 7x² + 5x² − 10xy + 6xy + 2xy + 5y² + 2y²+ 4y²

= 0 − 2xy + 11y²

= − 2xy + 11y²

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