To determine which algebraic expression is a difference consisting of two terms, we need to carefully examine each option.
Option A: [tex]\(6 + x - 9\)[/tex]
This expression is a sum and difference involving three terms: [tex]\(6\)[/tex], [tex]\(x\)[/tex], and [tex]\(-9\)[/tex]. So, it doesn't fit the requirement of being a difference with exactly two terms.
Option B: [tex]\(6x - 9\)[/tex]
This expression is a difference involving two terms: [tex]\(6x\)[/tex] and [tex]\(-9\)[/tex]. The subtraction operation is clearly present, making this a valid difference with two terms.
Option C: [tex]\(6(x + 5)\)[/tex]
This expression shows [tex]\(6\)[/tex] multiplied by the sum [tex]\((x + 5)\)[/tex]. This represents a single term through the distributive property and does not exhibit a direct difference expression in its current form.
Option D: [tex]\(9x \div 6\)[/tex]
This expression indicates a division operation involving [tex]\(9x\)[/tex] and [tex]\(6\)[/tex]. It is not a difference and involves a single term as a fraction.
Based on the analysis, only Option B: [tex]\(6x - 9\)[/tex] is a difference involving exactly two terms.
