The factor from the provided expression of the variable x and y is taken out. The resultant expression is -1/4(2x-5y).
The factor of a equation is the terms or number which is common in all the terms of the that equation.
The first term of the equation is,
-1/2x
Multiply with 2 in numerator and denominator of this term as,
-2/4x
(-1/4)2x
Now the second term of the equation is,
-5/4y
Rewrite this term as,
(-1/4)5y
Thus, the expression become,
1/2x - 5/4y
(-1/4)2x- (-1/4)5y
-1/4(2x-5y)
Hence, the factor from the provided expression of the variable x and y is taken out. The resultant expression is -1/4(2x-5y).
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