Which of the following are the factors of nbsp-3ab-a - b-a and b3- a nbsp-and b3- a- b nbsp-and -a - b-a- b and -a - b-

The correct option is C 3, a, b nbsp;and (a + b)Given, the expression is 3ab(a + b). The given nbsp;expression can be factorised as follows : 3ab(a + b) ...

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Standard VIII

Mathematics

Introduction to Factorisation

Which of the ...

Question

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

a and b

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3, a and b

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3, a, b and (a + b)

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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).

Suggest Corrections

Similar questions

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?

$i) (a + b + c)^2 = a^2 + b^2 + c^2 - 2(ab + bc + ca)$
$ii) (a + b)^3 = a^3 + b^3 + 3ab(a - b)$
$iii) (a − b)^3 = a^3 - b^3 - 3ab(a + b)$
$iv) a^2 - b^2 = (a + b)(a - b)$

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

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