Multiply and simplify: \( -2 x^{4}\left(2 x^{2}+7 x-9\right) \) A \( -4 x^{8}-14 x^{4}-4 x^{4} \) B \( -4 x^{6}-14 x^{5}+18 x^{4} \) C \( 4 x^{6}+14 x^{5}-18 x^{4} \) D \( 10 x^{6}+35 x^{5}-45 x^{4} \)

To solve the expression \( -2 x^{4}\left(2 x^{2}+7 x-9\right) \), we start by distributing \( -2 x^{4} \) to each term inside the parentheses: 1. Multiply \( -2 x^{4} \) by \( 2 x^{2} \): \[ -2 x^{4} \cdot 2 x^{2} = -4 x^{6} \] 2. Multiply \( -2 x^{4} \) by \( 7 x \): \[ -2 x^{4} \cdot 7 x = -14 x^{5} \] 3. Multiply \( -2 x^{4} \) by \( -9 \): \[ -2 x^{4} \cdot -9 = 18 x^{4} \] Now, combine all these results: \[ -4 x^{6} - 14 x^{5} + 18 x^{4} \] The simplified expression is \( -4 x^{6} - 14 x^{5} + 18 x^{4} \), which corresponds to option B. The answer is **B** \( -4 x^{6}-14 x^{5}+18 x^{4} \).