How do i expand and simplify

(2x+5) (3x-4)
6x-8x+15x-20
6x+7x-20
13x-20
Is this right??

Check your work.

When you multiplied (2x) times (3x) you got 6x. It should be 6x^2

To expand and simplify the expression (2x + 5)(3x - 4), follow these steps:

Step 1: Use the distributive property to multiply each term in the first expression (2x + 5) by each term in the second expression (3x - 4).

(2x)(3x) + (2x)(-4) + (5)(3x) + (5)(-4)

Step 2: Simplify each term resulting from the distribution.

6x^2 - 8x + 15x - 20

Step 3: Combine like terms.

(6x^2) + (-8x + 15x) + (-20)

Step 4: Simplify further.

6x^2 + 7x - 20

So the simplified and expanded expression is 6x^2 + 7x - 20.

Now, let's check if your simplification (6x + 7x - 20) is correct:

No, your result is not correct. You mistakenly did not square the x term. The correct simplified and expanded expression should be 6x^2 + 7x - 20.