Question

Subtract 3xy[x-y] from 2xy [x+y]​

Answer 1

Answer:

2xy(x+y)-3xy(x-y)

${2x}^{2}y + {2xy}^{2} - {3x}^{2} y + {3xy}^{2}$

${2x}^{2} y - {3x}^{2} y + {2xy}^{2} + {3xy}^{2}$

${ - x}^{2}y + {5xy}^{2}$

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Answer 2

Given,

3xy(x-y) is to be subtracted from 2xy(x+y).

To find,

The value of the given problem after solving it.

Solution,

The value when 3xy(x-y) is to be subtracted from 2xy(x+y) will be (-x²y + 5xy²).

According to the question,

3xy(x-y) is to be subtracted from 2xy(x+y)

2xy(x+y) - 3xy(x-y)

Multiplying the numbers with the variables into the brackets:

2x²y + 2xy² - 3x²y + 3xy²

(Note that the numbers with the same variables will get added or subtracted.]

(2x²y-3x²y) + (2xy²+3xy²)

-x²y + 5xy²

Hence, the value when 3xy(x-y) is to be subtracted from 2xy(x+y) is (-x²y + 5xy²).