btsxarmyxpari btsxarmyxpari

19-02-2021
Mathematics

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factorise 49m²-84mn+36n² using the identity x²+(a+b)x+ab=(x+a)(x+b)

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abidemiokin abidemiokin

24-02-2021

Answer:

(7m-6n)(7m-6n)

Step-by-step explanation:

Given the expression 49m²-84mn+36n², this can also be written as;

49m²-84mn+36n²

= 7²m² - 84mn + 6²n²

= (7m)²-2*7m*6n+ (6n)²

= (7m-6n)²

= (7m-6n)(7m-6n)

Hence the expanded form is (7m-6n)(7m-6n)

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