Combine like terms

Question

2x2+5x-10 -2(3x2+x)

a
3x2+2x-10

b
-4x2+3x-10

c
4x2+3x-10

Answer 1

Let's simplify the expression $2x^2+5x-10-2(3x^2+x)$ step by step.

1. Distribute the $-2$ to the terms inside the parentheses: $$-2(3x^2+x)=-6x^2-2x$$

2. Rewrite the entire expression: $$2x^2+5x-10-6x^2-2x$$

3. Now, combine like terms:

   • Combine the $x^2$ terms: $$2x^2-6x^2=-4x^2$$

   • Combine the $x$ terms: $$5x-2x=3x$$

   • The constant term remains: $$-10$$

4. Putting it all together: $$-4x^2+3x-10$$

So, the simplified expression is $-4x^2+3x-10$.

The correct answer is b: $-4x^2+3x-10$.