Question

(6x+7)(+2x-3)=6x(+2x)-3

Combine like terms binomials

Answer 1

The given equation is (6x+7)(2x-3).

To combine like terms, we need to apply the distributive property and multiply each term in the first set of parentheses by each term in the second set of parentheses.

Here are the steps to combine like terms:

1. Start with the given equation: (6x+7)(2x-3)

2. Apply the distributive property:

(6x)(2x) + (6x)(-3) + (7)(2x) + (7)(-3)

3. Simplify each multiplication:

12x^2 - 18x + 14x - 21

4. Combine like terms:

12x^2 - 4x - 21

Therefore, the simplified expression after combining like terms in (6x+7)(2x-3) is 12x^2 - 4x - 21.

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Answer 2

Explanation:

The correct expansion of the expression (6x+7)(+2x-3) using the Distributive Property is:

(6x)(+2x) + (6x)(-3) + (7)(+2x) + (7)(-3)

Simplifying each multiplication, we get:

12x^2 - 18x + 14x - 21

Combining like terms, we have:

12x^2 - 4x - 21

Therefore, the correct expansion and combination of like terms for the expression (6x+7)(+2x-3) is 12x^2 - 4x - 21.