The area of the rectangle will be 12b⁶ + 6b³ – 18b².
What is the area of the rectangle?
Let H be the height and W be the width of the rectangle. The area of the rectangle is the product of height and width.
Then the area of the rectangle will be
Area of the rectangle = H × W square units
A rectangle has a height of 3b² and a width of 4b⁴ + 2b – 6.
Then the area of the rectangle will be
Substitute H = 3b² and W = 4b⁴ + 2b – 6. Then the area of the rectangle will be
Area of the rectangle = 3b² x (4b⁴ + 2b – 6)
Simplify the equation, we have
Area of the rectangle = 3b² · 4b⁴ + 3b² · 2b – 3b² · 6
Area of the rectangle = 12b⁶ + 6b³ – 18b²
Thus, the area of the rectangle will be 12b⁶ + 6b³ – 18b².
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