Question

4x²-17xy+13y²

Answer 1

\(4x^2-17xy+13y^2\)

\(=4x^2-4xy-13xy+13y^2\)

\(=4x\left(x-y\right)-13y\left(x-y\right)\)

\(=\left(x-y\right)\left(4x-13y\right)\)

Answer 2

Giải:

\(4x^2-17xy+13y^2\)

\(=4x^2-8xy+4y^2+9y^2-9xy\)

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

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

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

\(=\left(y-x\right)\left[4\left(y-x\right)+9y\right]\)

\(=\left(y-x\right)\left(4y-4x+9y\right)\)

\(=\left(y-x\right)\left(13y-4x\right)\)

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