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Combine like terms

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

a
3x2+2x-10

b
-4x2+3x-10

c
4x2+3x-10

1 answer

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: \(-4x^2 + 3x - 10\).