Multiply (2x−3)(x+4)

Question

.(1 point)

Answer 1

To multiply the expressions $(2x-3)(x+4)$, you can use the distributive property (also known as the FOIL method for binomials).

Here are the steps:

1. First: Multiply the first terms: $$2x\times x=2x^2$$

2. Outer: Multiply the outer terms: $$2x\times 4=8x$$

3. Inner: Multiply the inner terms: $$-3\times x=-3x$$

4. Last: Multiply the last terms: $$-3\times 4=-12$$

Now, combine all these results: $$2x^2+8x-3x-12$$

Combine like terms: $$2x^2+(8x-3x)-12=2x^2+5x-12$$

Thus, the final result of the multiplication is: $$\boxed{{\displaystyle 2x^2+5x-12}}$$