Respuesta :

Answer:

[tex]\sf 7x+5y[/tex]

Step-by-step explanation:

[tex]\sf 3 ( x-y) + 4 (x+2y)[/tex]

~ Apply the Distributive property

[tex]\sf 3x-3y+4\left(x+2y\right)[/tex]

[tex]\sf 3x-3y+4x+8y[/tex]

~ Combine like terms

[tex]\sf 3x+4x=7x[/tex]

[tex]\sf 7x-3y+8y[/tex]

~ Combine like terms

[tex]\sf -3y+8y=5y[/tex]

[tex]\sf 7x+5y[/tex]

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DONE!!!!!!!

Hope it helps!

Have a good day!

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The simplification of the expression 3 ( x-y) + 4 (x+2y) is 7x + 5y

How to simplify expression

Given:

3 ( x-y) + 4 (x+2y)

  • open the parenthesis

= 3x - 3y + 4x + 8y

  • collect like terms

= 3x + 4x - 3y + 8y

= 7x + 5y

Therefore, the simplification of the expression 3 ( x-y) + 4 (x+2y) is 7x + 5y

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