5(2a + b)-2(3a-5b)

Is the answer 4a+15b just checking

Right.

Thank ya' ^.^

You're welcome. :-)

To simplify the expression 5(2a + b) - 2(3a - 5b), you can follow these steps:

Step 1: Distribute the coefficients to the terms inside the parentheses.
5 * 2a = 10a
5 * b = 5b

-2 * 3a = -6a
-2 * (-5b) = 10b

Now the expression becomes:
10a + 5b - 6a + 10b

Step 2: Combine like terms by adding or subtracting coefficients of similar variables.
(10a - 6a) + (5b + 10b)
4a + 15b

Therefore, the simplified expression is 4a + 15b.

Now let's check if the answer is 4a + 15b.

The original expression was 5(2a + b) - 2(3a - 5b).

Plug in values for 'a' and 'b' and evaluate both the original expression and 4a + 15b to see if they give the same result.

Let's say a = 3 and b = 2.

Original expression:
5(2(3) + 2) - 2(3(3) - 5(2))
5(6 + 2) - 2(9 - 10)
5(8) - 2(-1)
40 + 2
42

Now let's evaluate 4a + 15b:
4(3) + 15(2)
12 + 30
42

The result of both expressions is 42, which confirms that the answer is indeed 4a + 15b.