in simpleast form, 2x(4x^2-5)-(7x^3 +3x)

2x(4x^2 - 5) - (7x^3 +3x) =

8x^3 - 10x - 7x^3 - 3x =

x^3 - 13x or x(x^2 -13)

To simplify the expression 2x(4x^2-5)-(7x^3 +3x), we can use the distributive property and combine like terms. Here's how to do it step-by-step:

Step 1: Distribute the 2x to the terms inside the parentheses. Multiply 2x by each term within the first set of parentheses, and distribute the negative sign when multiplying by the second set of parentheses.

2x * 4x^2 - 2x * 5 - (2x * 7x^3 + 2x * 3x)

Simplified: 8x^3 - 10x - (14x^4 + 6x^2)

Step 2: Combine like terms. When combining like terms, add or subtract the coefficients of the same variable and keep the variable raised to its highest power.

Rearranging the terms in descending powers of x:

-14x^4 + 8x^3 - 6x^2 - 10x

This is the simplified form of the expression 2x(4x^2-5)-(7x^3 +3x).