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Factor out -1/4 out of -1/2x - 5/4y

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Answer:


-(1)/(4) [2x + 5y]

Explanation:

We are asked to factor out
-(1)/(4) out of
-(1)/(2)x-(5)/(4)y.

To factor out
-(1)/(4), we have to take common
-(1)/(4) from the expression
-(1)/(2)x-(5)/(4)y.

The process of taking common is shown below:


-(1)/(2)x-(5)/(4)y

=
-(1)/(4) * (-4)[-(1)/(2)x-(5)/(4) y ] {To take
-(1)/(4) as common we have to multiply -4 with the whole term}

=
-(1)/(4) [(-4) *(-(1)/(2) x)+(-4) *(-(5)/(4)y )]

=
-(1)/(4) [2x + 5y] ( Answer )

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