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.