Write an expression for the verbal phrase: The product of the square of \( x \) and seven
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The Deep Dive
The expression for the verbal phrase is \( 7x^2 \). This means that you first square the variable \( x \) and then multiply that result by 7 to get the final product. It's a nice way to demonstrate how operations can be combined in algebra! To break it down further, squaring \( x \) means multiplying \( x \) by itself, resulting in \( x^2 \). After that, the product with 7 comes into play, highlighting how algebra can represent real-world relationships succinctly. So, whenever you see such phrases, think of them as algebraic puzzles waiting to be solved!