Factored Form 58Eeb1

1. **State the problem:** We want to find the factored form of the expression $$2 x \left( 4 x + 3 \right) - \left( 4 x + 3 \right).$$ 2. **Identify common factors:** Notice that both terms contain the factor $$\left( 4 x + 3 \right).$$ 3. **Factor out the common term:** Using the distributive property, factor $$\left( 4 x + 3 \right)$$ out: $$2 x \left( 4 x + 3 \right) - \left( 4 x + 3 \right) = \left( 4 x + 3 \right) \left( 2 x - 1 \right).$$ 4. **Explanation:** We took $$\left( 4 x + 3 \right)$$ as a common factor and divided each term by it: $$\cancel{\left( 4 x + 3 \right)} \cdot 2 x - \cancel{\left( 4 x + 3 \right)} = 2 x - 1.$$ 5. **Final factored form:** $$\boxed{\left( 2 x - 1 \right) \left( 4 x + 3 \right)}.$$ 6. **Match with answer options:** This corresponds to option D.