\(a,\) \(M+\left(5x^2-2xy\right)=6x^2+9xy-y^2\)
\(M=\left(6x^2+9xy-y^2\right)-\left(5x^2-2xy\right)\)
\(M=6x^2+9xy-y^2-5x^2+2xy\)
\(M=\left(6x^2-5x^2\right)+\left(9xy+2xy\right)-y^2\)
\(M=x^2+11xy-y^2\)
\(b,\) \(\left(3xy-4y^2\right)-N=x^2-7xy+8y^2\)
\(N=\left(3xy-4y^2\right)-\left(x^2-7xy+8x^2\right)\)
\(N=3xy-4y^2-x^2+7xy-8x^2\)
\(N=\left(3xy+7xy\right)-4y^2-\left(x^2-8x^2\right)\)
\(N=10xy-4y^2+7x^2\)
b, (3xy-4y2 )-N=x2 -7xy+8y2
=> N= (x2 -7xy+8y2 ) -(3xy-4y2)
=> N= (x2 -7xy+8y2 -3xy+4y2)
=> N= x2 -4xy+12y2