Answer:
Option A is correct
\(30x^4-20x^3+15x^2\)
Step-by-step explanation:
The distributive property says that:
\(a \cdot (x +y +z) = a\cdot x+ a\cdot y+ a\cdot z\)
Given the expression: \(5x^2(4x-6x^2-3)\)
Using distributive property :
\(-5x^2 \cdot (4x) - 5x^2 \cdot (-6x^2) -5x^2 \cdot (-3)\)
Use: \(x^a \cdot x^b = x^{a+b}\)
then;
\(-20x^3+30x^4+15x^2\)
or
\(30x^4-20x^3+15x^2\)
Therefore, the correct simplification of the given expression is \(30x^4-20x^3+15x^2\)
