Question

The area of a rectangle is (12x4 - 8x3 - 4x2) cm². Its width is (3x + 1) cm.
What is the length of the rectangle?​

Answer 1

Answer:

(12x4-8x3-4x2)cm2

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(3x+1)

Answer 2

Step-by-step explanation:

Area of the rectangle = 12x⁴ - 8x³ - 4x²

=4x²(3x² - 2x - 1)

=4x²[3x² - 3x + x - 1)

=4x²[3x(x - 1) + 1(x - 1)]

=4x²[(x - 1)(3x + 1)]

=4x²(x - 1)(3x + 1) cm²

Since,

Area of the rectangle = Length x Breadth

→4x²(x - 1)(3x + 1) = Length x (3x + 1)

→Length = 4x²(x - 1) cm

[Both sides have (3x + 1)]

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