SOLUTION: Factorise the following expression completely:9a² – m² + 10mn – 25n²

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Question 1116574: Factorise the following expression completely:9a² – m² + 10mn – 25n²


Answer by Edwin McCravy(20065) About Me  (Show Source):
You can put this solution on YOUR website!
9a² – m² + 10mn – 25n²

Write the last three terms in parentheses
preceded by a minus sign:

9a² – (m² - 10mn + 25n²)

9a² - (m-5n)²

That's the difference of two squares:

[3a - (m-5n)][3a + (m-5n)]

[3a - m + 5n][3a + m - 5n]

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

Edwin