Factorise completely 45m² - 5n².

Mathematics

1 answer:

guapka [62]1 year ago

8 0

Answer:

5(3m+n)(3m - n)

Step-by-step explanation:

<h3>Factorize:</h3>

First take the common factor '5' from both the terms.

45m² - 5n² = 9*5*m² - 5n²

= 5*(9m² - n²)

= 5*( [3m]² - n²)

$\sf \boxed{\bf use \ the \ identity: \ a^2 - b^2 = (a+b)(a-b)}$

Here, a = 3m and b = n

= 5* [ (3m + n)(3m - n)]

= 5 *(3m + n)*(3m - n)

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andreyandreev [35.5K]

Answer:

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Step-by-step explanation:

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