Question

Expand each expression using the dist (3x-1)(x²+2x-3)

Answer 1

To expand (3x-1)(x²+2x-3), use the distributive property (FOIL method) to multiply each term in the first polynomial by each term in the second, resulting in 3x³ + 5x² - 11x + 3 after combining like terms.

Step-by-step explanation:

Expanding the Expression

To expand the expression (3x - 1)(x² + 2x - 3), you use the distributive property, also known as the FOIL method (First, Outer, Inner, Last), to multiply each term in the first polynomial by each term in the second polynomial.

1. Multiply 3x by x² to get 3x³.
2. Multiply 3x by 2x to get 6x².
3. Multiply 3x by -3 to get -9x.
4. Multiply -1 by x² to get -x².
5. Multiply -1 by 2x to get -2x.
6. Multiply -1 by -3 to get 3.

Combining like terms, we get the expanded form 3x³ + 5x² - 11x + 3.