Subtract :(x2 – y2) from (2x2 – 3y2 + 6xy)

1.	Subtract :(x2 – y2) from (2x2 – 3y2 + 6xy)
Answer» (x² – y²) from (2x² – 3y² + 6xy) The difference of two like terms is a like term whose coefficient is the difference of the numerical coefficient of the two like terms. We have, = (2x² – 3y² + 6xy) – (x² – y²) Change the sign of each term of the expression to be subtracted and then add. = 2x² – 3y² + 6xy – x² + y² = (2x² – x²) + (– 3y² + y²) + 6xy = (2 – 1)x² + (– 3 + 1)y² + 6xy = 1x² + (– 2y²) + 6xy = 1x² – 2y² + 6xy

Answer»

(x² – y²) from (2x² – 3y² + 6xy)

The difference of two like terms is a like term whose coefficient is the difference of the numerical coefficient of the two like terms.

We have,

= (2x² – 3y² + 6xy) – (x² – y²)

Change the sign of each term of the expression to be subtracted and then add.

= 2x² – 3y² + 6xy – x² + y²

= (2x² – x²) + (– 3y² + y²) + 6xy

= (2 – 1)x² + (– 3 + 1)y² + 6xy

= 1x² + (– 2y²) + 6xy

= 1x² – 2y² + 6xy

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