The simplified expression for [tex]-3(2x-y)+2y+2(x+y)[/tex] is [tex]-4x+7y[/tex].
Given: [tex]-3(2x-y)+2y+2(x+y)[/tex]
To find the simplified expression.
Solution:
[tex]-3(2x-y)+2y+2(x+y)[/tex]
By applying the Distributive Property, we get;
[tex]=-3*2x-3(-y)+2y+2x+2y[/tex]
Now, we will determine the sign for multiplication or division;
[tex]=-3*2x+3y+2y+2x+2y[/tex]
Now, we will multiply the monomials;
[tex]=-6x+3y+2y+2x+2y[/tex]
We will reorder and gather like terms;
[tex]=(-6x+2x)+(3y+2y+2y)[/tex]
Collect coefficients of like terms;
[tex]=(-6+2)*x+(3+2+2)*y[/tex]
After calculating the above terms, we get;
[tex]=-4x+7y[/tex]
Hence, the simplified expression of [tex]-3(2x-y)+2y+2(x+y)[/tex] is [tex]-4x+7y[/tex]
Simplify is to make something less complicated or less cluttered. An example of simplify is when you explain a tough math concept in really easy terms for a child to understand. An example of simplify is when you cut out a lot of the activities that were making you busy and stressed.
To make simple or simpler: such as. a : to reduce to basic essentials. b : to diminish in scope or complexity : streamline was urged to simplify management procedures.
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