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What are the factors of 25x4 − 49y2?

User Jmsb
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What are the factors of 25x4 − 49y2?-example-1
User Abhimanyu Garg
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Answer: The factors would be (5x²-7y)(5x²+7y).

Explanation:

Since we have given that


25x^4-49y^2

We just need to factorise the above expression.

So, we can rewrite it as :


(5x^2)^2-(7y)^2

Here, we can apply "a^2-b^2=(a+b)(a-b)":

Here, a = 5x²

b = 7y

So, it becomes


(5x^2-7y)(5x^2+7y)

Hence, the factors would be (5x²-7y)(5x²+7y).

User Rolice
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