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(x²+2xy-y²) + (x²-xy+3y²)
= x²+x²+2xy-xy-y²+3y²
= 2x²+xy+2y²
b) P - Q
(x²+2xy-y²) - (x²-xy+3y²)
= x²-x²+2xy+xy-y²-3y²
= 3xy-4y²
c) 2P + 2Q
2(x²+2xy-y²) + 2(x²-xy+3y²)
= 2x²+4xy-2y²+2x²-2xy+6y²
= 2x²+2x²+4xy-2xy-2y²+6y²
= 4x² + 2xy + 4y²
d) 3P - 4Q
3(x²+2xy-y²) - 4(x²-xy+3y²)
= 3x²+6xy-3y²-4x²+4xy-12y²
= 3x²-4x²+6xy+4xy-3y²-12y²
= x²+10xy-15y²