59.(3x+7)(5x-2)

A.8x+h
B.8x(to the 2nd power)+29x_14
C.15x(to the 2nd power)29x-14
D.15x(to the 2nd power)+41x+14

The right answer should at least:

be such that the coefficient of x² equal to 3*5 and the constant term equal to 7*(-2).

To multiply the expression (3x+7)(5x-2), we can use the distributive property and multiply each term in the first expression by each term in the second expression.

Let's break down the steps:

Step 1: Multiply 3x by 5x and 3x by -2:
(3x)(5x) = 15x^2
(3x)(-2) = -6x

Step 2: Multiply 7 by 5x and 7 by -2:
(7)(5x) = 35x
(7)(-2) = -14

Step 3: Combine the like terms:
(15x^2 - 6x) + (35x - 14)

Now, let's simplify the expression:

Step 4: Combine the like terms:
15x^2 + 35x - 6x - 14

Step 5: Simplify further:
15x^2 + 29x - 14

Therefore, the expanded form of the expression (3x+7)(5x-2) is 15x^2 + 29x - 14.

So, the correct answer is option C. 15x^2 + 29x - 14.