Write the factors of the following terms
$9 a^{3} b^{3} c^{2}$

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Solution

Write the factors of the given terms
Factors are the numbers that can divide a number exactly. Hence, after division, there is no remainder left. Factors are the numbers you multiply together to get another number. Thus, a factor is the divisor of another number.
Given terms is $9 a^{3} b^{3} c^{2}$
$9 a^{3} b^{3} c^{2} = 9 \times a \times a \times a \times b \times b \times b \times c \times c$
Factors of $9 a^{3} b^{3} c^{2}$ are $9, a, a, a, b, b, b, c, c$
Therefore, factors of $9 a^{3} b^{3} c^{2}$ are $9, a, a, a, b, b, b, c, c$

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Similar questions

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

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

Q. Factorise

9 a^{3} - 27 a^{2} - 100 a + 300

, if

3 a + 10

is a factor of it.

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)

Write the factors of the following terms

$9 x^{3} y^{2}$

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

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

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Write the factors of the following terms9a3b3c2

Write the factors of the following terms
$9 a^{3} b^{3} c^{2}$