Question

Which expressions are completely factored?

1) 20x³ + 12x² = 4x²(5x + 3)
2) 24x⁶ - 18x⁵ = 6x⁵(4x - 3)
3) 12x⁵ + 8x³ = 2x³(6x² + 4)
4) 18x⁴ - 12x² = 6x(3x³ - 2x)

Answer 1

The expressions that are completely factored are 4x²(5x + 3), 6x⁵(4x - 3), and 2x³(6x² + 4).

Step-by-step explanation:

The expressions that are completely factored are:

1. 20x³ + 12x² = 4x²(5x + 3)
2. 24x⁶ - 18x⁵ = 6x⁵(4x - 3)
3. 12x⁵ + 8x³ = 2x³(6x² + 4)

Expressions are completely factored when they are written as a product of their irreducible factors. In each of the given expressions, the terms on the right side are the irreducible factors that cannot be further factored. By factoring out the greatest common factor and writing the expression as a product, we have completely factored the expressions.