Question

Factorise 3m-12mn+30n​

Answer 1

Step-by-step explanation:

Given:

$3m - 12mn + 30n$

To find: Factors

Solution:

Given expression in two variables can't be completely factorise into factors.

The only factors one can take is 3,which is common in all three terms.

Step 1: Write coefficient of terms in multiple of 3,as shown

$3m - 3 \times 4mn + 3 \times 10n$

Step 2: Take 3 common

$3(m - 4mn + 10n)$

Step 3: For simplification take (-)common

$- 3(4mn - m - 10n)$

Thus,

This way only 3 can be taken as common in order to factorise.

Final answer:

$3m - 12mn + 30n = - 3(4mn - m - 10n)$

Hope it helps you.

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