The expression 2x^3(4-3x)-5x(x-2) is equal to?
*Please show me the steps to solve this problem! Thanks!
Just expand it ...
8x^3 - 6x^4 - 5x^2 + 10x
all done!
Why are you calling this trigonometry?
To simplify the expression 2x^3(4-3x) - 5x(x-2), we first need to apply the distributive property.
Step 1: Distribute the 2x^3 to the terms inside the parentheses (4-3x).
2x^3 * 4 = 8x^3
2x^3 * (-3x) = -6x^4
The expression now becomes:
8x^3 - 6x^4 - 5x(x-2)
Step 2: Distribute the -5x to the terms inside the parentheses (x-2).
-5x * x = -5x^2
-5x * (-2) = 10x
The expression now becomes:
8x^3 - 6x^4 - 5x^2 + 10x
Step 3: Combine like terms.
There are no like terms, so the expression is already simplified.
Therefore, the simplified form of the expression 2x^3(4-3x) - 5x(x-2) is:
8x^3 - 6x^4 - 5x^2 + 10x.