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Factors of Algebraic Expressions

Which of the ...

Question

Which of the following are the factors of 3ab(a + b)?

A

a and b

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B

3, a and b

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C

3, a, b and (a + b)

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D

a, b and (a + b)

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Solution

The correct option is C 3, a, b and (a + b)
Given, the expression is 3ab(a + b).

The given expression can be factorised as follows :

3ab(a + b) = (3).(a).(b).(a + b)

Hence, the factors of 3ab(a + b) are 3, a, b and (a+b).

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Similar questions

Q. Which of the following are the factors of 3ab(a + b)?

Q. Which of the following equations are correct?

(i) (a + b + c)^{2} = a^{2} + b^{2} + c^{2} + 2 (a b + b c + c a)

(i i) (a + b)^{3} = a^{3} + b^{3} + 3 a b (a - b)

(i i i) (a - b)^{3} = a^{3} - b^{3} - 3 a b (a + b)

(i v) a^{2} - b^{2} = (a + b) (a - b)

Which of the following equation/s is/are correct?

$i) (a + b + c)^{2} = a^{2} + b^{2} + c^{2} - 2 (a b + b c + c a)$
$i i) (a + b)^{3} = a^{3} + b^{3} + 3 a b (a - b)$
$i i i) (a - b)^{3} = a^{3} - b^{3} - 3 a b (a + b)$
$i v) a^{2} - b^{2} = (a + b) (a - b)$

Which of the following are the factors of $a^{4} - b^{4}$ ?

a b (a + b)^{2} - 3 a b (a + b)

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