\( 7 x\left(\mathrm{x}^{2}-\mathrm{x}+6\right)=\square( \) Simplify your answer.)

To simplify the expression \( 7x(x^2 - x + 6) \), we can distribute \( 7x \) to each term inside the parentheses. First, multiply \( 7x \) by \( x^2 \): \( 7x \cdot x^2 = 7x^3 \) Next, multiply \( 7x \) by \( -x \): \( 7x \cdot (-x) = -7x^2 \) Finally, multiply \( 7x \) by \( 6 \): \( 7x \cdot 6 = 42x \) Now, combine all the results: \( 7x(x^2 - x + 6) = 7x^3 - 7x^2 + 42x \) Thus, the simplified expression is \( 7x^3 - 7x^2 + 42x \).