Question

Cầu 4: Tìm đa thức M,N biết:

a.M +(5x\(^2\) - 2xy)=6x\(^2\) + 9xy-y\(^2\) b.(3xy - 4y\(^2\) - N= x\(^2\) - 7xy + 8y\(^2\)

Answer 1

a) Có:

\(M+\left(5x^2-2xy\right)=6x^2+9xy-y^2\)

\(\Rightarrow M=6x^2+9xy-y^2-\left(5x^2-2xy\right)\)

\(M=6x^2+9xy-y^2-5x^2+2xy\)

\(M=\left(6x^2-5x^2\right)+\left(9xy+2xy\right)-y^2\)

\(\Rightarrow M=x^2+11xy-y^2\)

b) Có:

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

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

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

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

\(\Rightarrow N=10xy+\left(-12y^2\right)-x^2\)

Hay \(N=10xy-12y^2-x^2\)

Chúc bạn học tốt!