Question

Multiply: (3x + 4)(2x − 5)

6x² + 22x − 20
6x² − 7x + 20
6x² − 20
6x² − 7x − 20

Answer 1

To multiply the binomials (3x + 4) and (2x − 5), use the FOIL method to get 6x² − 7x − 20, which is the correct product of these expressions.

Step-by-step explanation:

The question asks for the product of the binomials (3x + 4) and (2x − 5). To find the answer, we use the distributive property, also known as the FOIL method (First, Outer, Inner, Last), to multiply each term of the first binomial by each term of the second binomial. Here's how it's done step-by-step:

• Multiply the First terms: (3x) × (2x) = 6x²
• Multiply the Outer terms: (3x) × (− 5) = − 15x
• Multiply the Inner terms: (4) × (2x) = 8x
• Multiply the Last terms: (4) × (− 5) = − 20

Now, combine like terms:

6x² − 15x + 8x − 20 = 6x² − 7x − 20.

Therefore, the product of the binomials (3x + 4) and (2x − 5) is 6x² − 7x − 20.

To multiply the expression (3x + 4)(2x - 5), we can use the distributive property. This property states that for any numbers a, b, and c, (a + b)(c) = ac + bc. We can apply this property to our expression:

(3x + 4)(2x - 5) = 3x * 2x + 3x * (-5) + 4 * 2x + 4 * (-5) = 6x^2 - 15x + 8x - 20 = 6x^2 - 7x - 20.

Therefore, the product of (3x + 4)(2x - 5) is 6x^2 - 7x - 20.