(2x - 3 ) ( x + 4)

Answer 1

To expand the expression (2x - 3)(x + 4), we use the distributive property.

First, we distribute 2x to both terms in the second parentheses:
2x * x + 2x * 4

This simplifies to:
2x^2 + 8x

Next, we distribute -3 to both terms in the second parentheses:
-3 * x + -3 * 4

This simplifies to:
-3x - 12

Finally, we combine the two resulting terms to get the expanded expression:
2x^2 + 8x - 3x - 12.

Combining like terms, we have:
2x^2 + 5x - 12.

Therefore, (2x - 3)(x + 4) expands to 2x^2 + 5x - 12.