expand and simplify (2x+5)(3x-4)

Adam Imran and Shakeel were playing a card game Adam scored x points Imran scored 3 points fewer than Adam, Shakeel scored twice as many points as Imran Together they scored 39 points

1 Write down in terms of x an expression for the number of points scored by Shakeel.

2 Write an equation which may be used to find the value of x.

The first formula looks about as simple as you can get it.

For the second problem, without the comma, I first thought Adam Imran was one name. I had to read it several times to understand. Proofread your question before you post it.

If x = Adam, then Imran = x -3, and Shakeel = 2(x - 3)

Those terms should add up to 39.

I hope this helps.

To expand and simplify the expression (2x + 5)(3x - 4), you need to apply the distributive property. This property states that when you multiply a sum or difference by a number or expression, you distribute the multiplication to each term in the sum or difference.

To start, multiply the first term of the first bracket (2x) by each term in the second bracket (3x and -4), and then multiply the second term of the first bracket (5) by each term in the second bracket (3x and -4).

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

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

Simplifying further:

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

Combine like terms:

6x^2 + 7x - 20

So, the expanded and simplified expression for (2x + 5)(3x - 4) is 6x^2 + 7x - 20.