Backwalkover24
Backwalkover24 Backwalkover24
  • 04-06-2019
  • Mathematics
contestada

Subject Algebra 1

If [tex]y=3x^{2} + x^{2} -5[/tex] and [tex]z=x^{2} -12[/tex] which polynomial is equivalent to [tex]2(y+z)[/tex]?

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azaguila8
azaguila8 azaguila8
  • 04-06-2019

Answer:

[tex]10x^{2}-34[/tex]

Step-by-step explanation:

Because we are told equivalent expressions for y and z we can plug those in to 2(y+z).

[tex]2((3x^{2}+x^{2}-5)+(x^{2}-12))[/tex]

Then simplify by combining like terms of the expressions. Values ending in x^2 can be combined with each other.

[tex]2(5x^{2}-17)[/tex]

Now we can distribute the 2 by multiplying each value in the parentheses by 2.

[tex]10x^{2}-34[/tex]

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