Question

viết các biểu thức sau dưới dạng tổng các

a,\(x^2-6x+10+y^2+2y\)

b,\(4x^2+4x+5+y^2-4y\)

c,\(4x^2+5y^2+4xy-12y+9\)

Answer 1

b)\(4x^2+4x+5+y^2-4y\)

\(=\left[\left(2x\right)^2+4x+1\right]+\left(y^2-4y+4\right)\)

\(=\left(2x+1\right)^2+\left(y-2\right)^2\)

Answer 2

c) \(4x^2+5y^2+4xy-12y+9\)

\(=\left(4x^2+4xy+y^2\right)+\left(4y^2-12y+9\right)\)

\(=\left(2x+y\right)^2+\left(2y-3\right)^2\)

Answer 3

a) \(x^2-6x+10+y^2+2y\)

\(=\left(x^2-6x+9\right)+\left(y^2+2y+1\right)\)

\(=\left(x-3\right)^2+\left(y+1\right)^2\)

Answer 4

c: \(=4x^2+4xy+y^2+4y^2-12y+9\)

\(=\left(2x+y\right)^2+\left(2y-3\right)^2\)

a: \(=x^2-6x+9+y^2+2y+1=\left(x-3\right)^2+\left(y+1\right)^2\)

b: \(=4x^2+4x+1+y^2-4y+4\)

\(=\left(2x+1\right)^2+\left(y-2\right)^2\)