factorize 25x2 - 60xy + 36y2
Answers
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Correct Question :-
Factorise 25x² - 60xy + 36y²
Answer :-
(5x - 6y)(5x - 6y)
Solution :-
25x² - 60xy + 36y²
It can be written as
= (5x)² - 60xy + (6y)²
= (5x)² - 2(5x)(6y) + (6y)²
We know that
(a - b)² = a² + b² - 2ab
Here a = 5x, b = 6y
By substituting the values
= (5x - 6y)²
= (5x - 6y)(5x - 6y)
Identity used :-
• (a - b)² = a² + b² - 2ab
Extra information :-
• Factorisation is a process of writing an expression as its products.
• Factorisation can be done using grouping terms, and also using Identities.
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