Calculate: -5x * (8x^2-4x+7)

Expression: $-5x \times \left( 8{x}^{2}-4x+7 \right)$

Multiply each term in the parentheses by $-5x$

$-5x \times 8{x}^{2}-5x \times \left( -4x \right)-5x \times 7$

Calculate the product

$-40{x}^{3}-5x \times \left( -4x \right)-5x \times 7$

Multiplying two negatives equals a positive: $\left( - \right) \times \left( - \right)=\left( + \right)$

$-40{x}^{3}+5x \times 4x-5x \times 7$

Calculate the product

$-40{x}^{3}+20{x}^{2}-5x \times 7$

Calculate the product

$-40{x}^{3}+20{x}^{2}-35x$