The area of a rectangle is (27x⁵ + 9x⁴ - 18x³) square feet. The width of the rectangle is 9x² feet. What is the length of the rectangle?
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Step-by-step explanation:
Area : 27x⁵ + 9x⁴ - 18x³ = 9x³(3x² + x - 2)
Width : 9x²
Length : Area / Width
= 9x³(3x² + x - 2) / 9x²
= x(3x² + x - 2)
= 3x³ + x² - 2x
(or)
= x(3x² +3x - 2x - 2)
= x[ (3x(x + 1) - 2(x + 1) ]
= x[ (3x - 2)(x + 1) ]
Hope it helps.
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