Question

tìm đa thức M và N biết

a M- (3xy-4y²-2xy)=(x²-7xy+8y²)

b N + (x³-xyz+3x²y)=2x³+3xy-xy²

Answer 1

a, \(M-\left(3xy-4y^2-2xy\right)=\left(x^2-7xy+8y^2\right)\)

\(\Rightarrow M=\left(x^2-7xy+8y^2\right)+\left(3xy-4y^2-2xy\right)\)

\(\Rightarrow M=x^2-7xy+8y^2+3xy-4y^2-2xy\)

\(\Rightarrow M=x^2+\left[3xy-7xy-2xy\right]+\left[8y^2-4y^2\right]\)

\(\Rightarrow M=x^2-6xy+4y^2\)

b, \(N+\left(x^3-xyz+3x^2y\right)=2x^3+3xy-xy^2\)

\(\Rightarrow N=\left(2x^3+3xy-xy^2\right)-\left(x^3-xyz+3x^2y\right)\)

\(\Rightarrow N=2x^3+3xy-xy^2-x^3+xyz-3x^2y\)

\(\Rightarrow N=\left[2x^3-x^3\right]+3xy-xy^2+xyz-3x^2y\)

\(\Rightarrow N=x^3+3xy-xy^2+xyz-3x^2y\)

Tích mình nha!!!