According to the Distributive Property, which expression is equivalent to 4x3+8x2+12x ?(1 point)
Responses
4x(4x+5x)
4 x left parenthesis 4 x plus 5 x right parenthesis
(2x2+4)(2x2+3)
left parenthesis 2 x squared plus 4 right parenthesis left parenthesis 2 x squared plus 3 right parenthesis
(2x2+4)(2x−3)
left parenthesis 2 x squared plus 4 right parenthesis left parenthesis 2 x minus 3 right parenthesis
4x(x2+2x+3)
The correct expression that is equivalent to 4x3+8x2+12x according to the Distributive Property is:
4x(x2+2x+3)
To find the expression that is equivalent to 4x3 + 8x2 + 12x, we can apply the Distributive Property.
The Distributive Property states that for any numbers a, b, and c, a(b + c) = ab + ac.
So, we can distribute the 4x to each term inside the parentheses:
4x(4x + 5x) = 4x * 4x + 4x * 5x = 16x^2 + 20x^2
Therefore, the expression that is equivalent to 4x3 + 8x2 + 12x is 16x^2 + 20x^2.