Multiply (2x−3)(x+4) .

Answer 1

To find the product of (2x - 3)(x + 4), we use the distributive property.

First, we multiply 2x by both terms in the second set of parentheses:

2x(x) + 2x(4)

This simplifies to:
2x^2 + 8x

Next, we multiply -3 by both terms in the second set of parentheses:

-3(x) + -3(4)

This simplifies to:
-3x - 12

Putting it all together, we have:
(2x - 3)(x + 4) = 2x^2 + 8x - 3x - 12

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

Thus, the product of (2x - 3)(x + 4) is 2x^2 + 5x - 12.