Subject Algebra 1 If y=3x^(2) + x^(2) -5 and z=x^(2) -12 which polynomial is equivalent to 2(y+z)?

Question

Subject Algebra 1

If
`y=3x^(2) + x^(2) -5` and
`z=x^(2) -12` which polynomial is equivalent to
`2(y+z)`?

Answer 1

`10x^(2)-34`

Explanation:

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

`2((3x^(2)+x^(2)-5)+(x^(2)-12))`

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

`2(5x^(2)-17)`

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

`10x^(2)-34`