The product of a + 3 and –2a2 + 15a + 6 is –2a3 + xa2 + 51a + 18. what is the value of x?
a. 3
b. 9
c. 12
d. 15

Option b is correct.

value of x is, 9

Step-by-step explanation:

The distributive property says that:

As per the statement:

The product of and i.,e

then;

Apply the distributive property:

Combine like terms;

It is given that the The product of and is

then;

=

On comparing both sides we get;

x = 9

Therefore, the value of x is, 9

9

Further explanation

Given:

The product of

Question:

What is the value of x?

Problem solving:

We will solve the case about the distributive property of multiplication.

Let's rewrite and arrange the multiplication equation as follows.

Work out the multiplication of terms carefully.

Note the coefficient of the term a² on the left-hand side. Let us equate with a similar term on the right side.

Let us cross out a².

Hence, the value of x is 9.

Keywords: the product, the value of x, the distributive property of multiplication, the coefficient of the term a²