Question

phân tích hạng tử thành nhân tử

1)4x^2+4x+1-9y^2

2) x^2+2xy +y^2-z^2+2zt-t^2

3) 9x^2-9xy-7x+7y

4) 3x-3y+ax-ay

Answer 1

1 \(=\left(4x^2+4x+1\right)-\left(3y\right)^2\)

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

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

2,\(=\left(x^2+2xy+y^2\right)-\left(z^2-2zt+t^2\right)\)

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

     \(=\left(x+y+z-t\right)\left(x+y-z+t\right)\)

3,\(=9x\left(x-y\right)-7\left(x-y\right)\)

    \(=\left(x-y\right)\left(9x-7\right)\)

4\(=3\left(x-y\right)+a\left(x-y\right)\)

   \(=\left(x-y\right)\left(3+a\right)\)