Question

Subtract (5x2 + 3) − (2x2 + 4x − 12).

Answer 1

`3x^2 - 4x + 15`

Explanation:

We are simplifying the expression:

`(5x^2 + 3) - (2x^2 + 4x - 12)`

First, we can rewrite the expression without parentheses, remembering to distribute the negative to each subterm in the second term.

`5x^2 + 3 - 2x^2 - 4x + 12`

Next, we can group like terms.

`(5x^2 - 2x^2) - 4x + (3 + 12)`

Finally, these like terms can be combined.

`\boxed{3x^2 - 4x + 15}`