Question

which of the following is equivalent to the polynomial expression below? (10g^3-8g^2+5g-14)+(10g^2+12g)

Answer 1

(10g³-8g²+5g-14)+(10g²+12g)=10g³+(-8g²+10g²)+(5g+12g)-14=
=10g³+2g²+17g-14

Anser: 10g³+2g²+17g-14

Answer 2

Given the polynomial expression:
`(10g^3-8g^2+5g-14)+(10g^2+12g)`

Remove the parenthesis, we get

`10g^3-8g^2+5g-14+10g^2+12g`

Like terms states that those terms which have the same variable.

Combine like terms;

`10g^3 +2g^2+17g-14`

Therefore, the polynomial which is equivalent to the polynomial
`(10g^3-8g^2+5g-14)+(10g^2+12g)` is,
`10g^3 +2g^2+17g-14`