Bài 7:
M+N
\(=3xyz-3x^2+5xy-1+5x^2+xyz-5xy+3-y\)
\(=4xyz+2x^2+2-y\)
M-N
\(=3xyz-3x^2+5xy-1-5x^2-xyz+5xy-3+y\)
\(=2xyz-8x^2+10xy+y-4\)
N-M
=-(M-N)
\(=-2xyz+8x^2-10xy-y+4\)
Bài 9:
a: Đặt \(A=x^2+2xy-3x^3+2y^3+3x^3-y^3\)
\(=x^2+2xy-3x^3+3x^3+2y^3-y^3\)
\(=x^2+2xy+y^3\)
Thay x=5;y=4 vào A, ta được:
\(A=5^2+2\cdot5\cdot4+4^3\)
=25+40+64
=129
b: Đặt \(B=xy-x^2y^2+x^4y^4-x^6y^6+x^8y^8\)
Thay x=-1;y=-1 thì \(B=\left(-1\right)\cdot\left(-1\right)-\left(-1\right)^2\cdot\left(-1\right)^2+\left(-1\right)^4\cdot\left(-1\right)^4-\left(-1\right)^6\cdot\left(-1\right)^6+\left(-1\right)^8\cdot\left(-1\right)^8\)
=1-1+1-1+1
=1
Bài 10:
a: C=A+B
\(=x^2-2y+xy+1+x^2+y-x^2y^2-1\)
\(=2x^2-y+xy-x^2y^2\)
b: C+A=B
=>C=B-A
\(=x^2+y-x^2y^2-1-x^2+2y-xy-1\)
\(=3y-x^2y^2-xy-2\)