Question

simplify the expression.
$5x\left(3x^{2} + 2\
ight) - \left(8x^{3} + 10x\
ight)$

Explanation:

Step1: Distribute $5x$ to the parentheses

$5x(3x^2 + 2) = 15x^3 + 10x$

Step2: Distribute the negative sign

$-(8x^3 + 10x) = -8x^3 - 10x$

Step3: Combine all terms

$15x^3 + 10x - 8x^3 - 10x$

Step4: Combine like terms

$(15x^3 - 8x^3) + (10x - 10x) = 7x^3 + 0$

Answer:

$7x^3$