Question $\left(6 x^{2}+3 x-5\right)-\left(2 x^{2}+6\right)$

Studdy Solution

STEP 1

1. We are given a polynomial expression that involves subtraction.
2. The goal is to simplify the expression by performing the subtraction.

STEP 2

1. Distribute the negative sign across the second polynomial.
2. Combine like terms in the resulting expression.

STEP 3

Distribute the negative sign across the terms in the second polynomial $(2x^2 + 6)$ :
$(6x^2 + 3x - 5) - (2x^2 + 6) = 6x^2 + 3x - 5 - 2x^2 - 6$

STEP 4

Combine like terms in the expression:
- Combine the $x^2$ terms: $6x^2 - 2x^2 = 4x^2$ - The $x$ term remains as $3x$ since there is no other $x$ term. - Combine the constant terms: $-5 - 6 = -11$
The simplified expression is:
$4x^2 + 3x - 11$
The simplified expression is:
$\boxed{4x^2 + 3x - 11}$

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