4. Factorize: 25x2 – 36y2 - 10x + 1
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1
Answer:
Given : 25x
2
−10x+1−36y
2
We can further write the given question as
25x
2
−10x+1−36y
2
=(25x
2
−10x+1)−36y
2
So we get
25x
2
−10x+1−36y
2
=[(5x)
2
−2×5x×1+1
2
]−(6y)
2
25x
2
−10x+1−36y
2
=(5x−1)
2
−(6y)
2
Based on the equation a
2
−b
2
=(a+b)(a−b)
We get,
25x
2
−10x+1−36y
2
=(5x−1+6y)(5x−1−6y)
Step-by-step explanation:
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