Simplify the expression by subtracting the two polynomials: \( \left(10 x^{4}-10 x^{3}+7 x\right)-\left(6 x^{4}+5 x^{3}-10\right) \) The expression simplifies to Enter your answer Submit answer Attempts: \( 0 / 5 \)

To simplify the expression \( \left(10 x^{4}-10 x^{3}+7 x\right)-\left(6 x^{4}+5 x^{3}-10\right) \), we will subtract the second polynomial from the first. Distributing the negative sign gives us: \[ 10 x^{4} - 10 x^{3} + 7 x - 6 x^{4} - 5 x^{3} + 10 \] Now, let's combine like terms: - For \( x^{4} \): \( 10 x^{4} - 6 x^{4} = 4 x^{4} \) - For \( x^{3} \): \( -10 x^{3} - 5 x^{3} = -15 x^{3} \) - For \( x \): \( 7 x \) (remains the same as there is no other \( x \) term) - The constant: \( 10 \) Putting it all together, we get: \[ 4 x^{4} - 15 x^{3} + 7 x + 10 \] Thus, the expression simplifies to \( 4 x^{4} - 15 x^{3} + 7 x + 10 \).