The expression 21x⁴ + 56x³ + 49x² represents the area of the entire rectangle.
It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
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The area of the rectangle = length x width
= (3x² + 8x + 7)(7x²)
[tex]\rm =7x^2\cdot \:3x^2+7x^2\cdot \:8x+7x^2\cdot \:7[/tex]
= 21x⁴ + 56x³ + 49x²
Thus, the expression 21x⁴ + 56x³ + 49x² represents the area of the entire rectangle.
Learn more about the rectangle here:
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