Question

M=x²/(x+y)(1-y)   -    y²/(x+y)(1+x)    -    x²y²/(1+x)(x+y)

a. rút gọn M

b. TÌM CẶP (X;Y) để M= -6

Answer 1

\(M=\frac{x^2}{\left(x+y\right)\left(1-y\right)}-\frac{y^2}{\left(x+y\right)\left(1+x\right)}-\frac{x^2y^2}{\left(x+1\right)\left(x+y\right)}\)

\(M=\frac{x^2}{\left(x+y\right)\left(1-y\right)}-\frac{y^2-x^2y^2}{\left(x+1\right)\left(x+y\right)}\)

\(M=\frac{x^2}{\left(x+y\right)\left(1-y\right)}-\frac{y^2\left(1-x^2\right)}{\left(x+1\right)\left(x+y\right)}\)

\(M=\frac{x^2}{\left(x+y\right)\left(1-y\right)}-\frac{y^2\left(1-x\right)\left(1+x\right)}{\left(x+1\right)\left(x+y\right)}\)

\(M=\frac{x^2}{\left(x+y\right)\left(1-y\right)}-\frac{y^2\left(1-x\right)\left(1-y\right)}{\left(x+y\right)\left(1-y\right)}\)

\(M=\frac{x^2-y^2.\left(1-x-y+xy\right)}{\left(x+y\right)\left(1-y\right)}\)

\(M=\frac{x^2-y^2+xy^2+y^3-xy^3}{\left(x+y\right)\left(1-y\right)}\)

đến đây phân tích ra nhân tử chung rồi làm tiếp