Question

The expression (3x – 4) (2x + 1) means:

A) Multiply 32
B) Multiply 3(2x – 4) with 2x – 1
C) Multiply 32 - 4 repeatedly 2x + 1 times
D) Add 3x - 4 with 2x – 1

Answer 1

The expression (3x – 4)(2x + 1) involves performing the multiplication of binomials, using the FOIL method to find the product, which simplifies to 6x^2 - 5x - 4.

Step-by-step explanation:

The expression (3x – 4)(2x + 1) represents the multiplication of two binomials. This is a standard operation in algebra known as FOIL (First, Outer, Inner, Last), where each term in the first binomial is multiplied by each term in the second binomial. By following this method, we get the result:

3x * 2x = 6x^2
3x * 1 = 3x
-4 * 2x = -8x
-4 * 1 = -4

When we combine these results, we obtain:

6x^2 + 3x - 8x - 4

By combining like terms (3x and -8x), we can simplify this to:

6x^2 - 5x - 4

This is the equivalent of the product of the binomials.