Question

1. select the expression that represents: the product of the difference of seven and x and the sum of four and y. \\(\bigcirc\\) \\((x - 7)(y + 4)\\) \\(\bigcirc\\) \\((x + 7)(y - 4)\\) \\(\bigcirc\\) \\((7 + x)(4 - y)\\) \\(\bigcirc\\) \\((7 - x)(4 + y)\\)

Explanation:

Step1: Analyze "the difference of seven and x"

The difference of seven and x is written as \(7 - x\).

Step2: Analyze "the sum of four and y"

The sum of four and y is written as \(4 + y\) (or \(y + 4\)).

Step3: Analyze "the product of..."

The product of the two expressions above is \((7 - x)(4 + y)\).

Answer:

D. \((7 - x)(4 + y)\)