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Division of a Polynomial by a Monomial

Simplify: 1...

Question

Simplify: $\frac{12 a b^{3} - 6 a^{2} b}{3 a b}$ (given that $a b \neq 0$ )

A

6 b^{2} - a

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B

2 b^{2} - 3 a

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C

4 b^{2} - 2 a

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D

3 b^{2} - 2 a

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Solution

The correct option is C $4 b^{2} - 2 a$
$(2 b^{2} - a)$ or $4 b^{2} - 2 a$ : First, factor out common terms in the numerator. Then, cancel terms in both the numerator and denominator:
$\frac{6 a b (2 b^{2} - a)}{3 a b} = 2 (2 b^{2} - a)$ or $4 b^{2} - 2 a$

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Q. Simplify the expression

(1 + a)^{3}

, using the suitable property.

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