25n^5-36y^2 find please
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Answer: By factorization of \bold{25 x^{2}-10 x+1-36 y^{2}}25x
2
−10x+1−36y
2
,we get ((5x-1) + 6y) ((5x-1) - 6y)
25 x^{2}-10 x+1-36 y^{2}=(5 x)^{2}-2(5 x)+1^{2}-(6 y)^{2}25x
2
−10x+1−36y
2
=(5x)
2
−2(5x)+1
2
−(6y)
2
We know that by formula, (a-b)^{2}=a^{2}+b^{2}-2ab(a−b)
2
=a
2
+b
2
−2ab
(5 x)^{2}-2(5 x)+1^{2}(5x)
2
−2(5x)+1
2
can be written as (5 x-1)^{2}(5x−1)
2
25 x^{2}-10 x+1-36 y^{2}=(5 x-1)^{2}-(6 y)^{2}25x
2
−10x+1−36y
2
=(5x−1)
2
−(6y)
2
We know that by formula, a^{2}-b^{2}=(a+b)(a-b)a
2
−b
2
=(a+b)(a−b)
Hence 25 x^{2}-10 x+1-36 y^{2}25x
2
−10x+1−36y
2
= ((5x-1) + 6y) ((5x-1) - 6y)
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