Question

Given two binomials:

Binomial 1: 4x + 2
Binomial 2: 8x – 7
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What is the sum of the binomials?

Answer 1

The sum of the binomials is 12x - 5.

Here is the sum of the two binomials, along with the steps taken to arrive at the solution:

Binomial 1: 4x + 2

Binomial 2: 8x - 7

Step 1: Combine the terms

First, we need to combine the terms from both binomials. Since there are no like terms in the binomials, we simply combine them as follows:

Combined terms: 4x + 2 + 8x - 7

Step 2: Simplify the expression

Next, we can simplify the expression by combining the coefficients of the x terms:

4x + 2 + 8x - 7 = (4 + 8)x + (2 - 7) = 12x - 5

Therefore, the sum of the two binomials is 12x - 5.

Answer 2

12x - 5

============

Binomial 1 is 4x + 2 and binomial 2 is 8x - 7.

To find the sum, we combine the x terms and the constant terms separately.

Combining the x terms:

• 4x + 8x = 12x

Combining the constant terms:

• 2 - 7 = -5

Therefore, the sum of the binomials is 12x - 5.