Question

(x² + 3x³ - 2x³) (-5x² + x) = (x² + 3x³ - 2x³) (-5x²) + (x² + 3x³ − 2x³)(x)

is an example of:
A. The distributive property
B. FOIL
C. Multiplying two binomials
D. Vertical multiplication

Answer 1

FOILLLLLLLLL i took the test

Answer 2

The given expression involves the distributive property and simplification of terms.

Step-by-step explanation:

The given expression (x² + 3x³ - 2x³) (-5x² + x) can be simplified by applying the distributive property to each term:

1. Multiplying (x² + 3x³ - 2x³) by (-5x²), we get -5x⁴ - 15x⁵ + 10x⁵.
2. Multiplying (x² + 3x³ - 2x³) by (x), we get x³ + 3x⁴ - 2x⁴.
3. Putting the simplified terms together, we have -5x⁴ - 15x⁵ + 10x⁵ + x³ + 3x⁴ - 2x⁴.
4. Combining like terms, the final expression becomes -2x⁴ - 15x⁵ + x³.

Learn more about Multiplying expressions using the distributive property