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A long ribbon of length $(x^{3} - 4 x)$ m is cut into equal pieces, each $(x + 2)$ m long.
How many pieces are obtained?

Class 8Dividing Algebraic ExpressionsAlgebra

A $x^{2} - 2 x$
B $x^{2} + 2 x$
C $x^{2} - 4$
D $x - 2$

Step-by-Step Solution

x^{3} - 4 x = x (x^{2} - 4) = x (x - 2) (x + 2)

. Pieces =

\frac{x ^{3} - 4 x}{x + 2} = x (x - 2) = x^{2} - 2 x

.

Answer: A)

x^{2} - 2 x

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