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How to factor 75x^2-3

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6 votes

Answer:

Explanation:

75x^2-3 cannot be factored using integer numbers since it's a difference of squares. The expression 75x^2-3 is a binomial, not a trinomial. The difference of squares is a factoring pattern where you have a squared binomial subtracted from a constant.

75x^2-3 = 75x^2 -3x^2 = 72x^2 -3x^2 = (75-3)x^2 = 72x^2

So the factorization of 75x^2-3 is just 72x^2

User Aaronmarruk
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1 vote

Answer: 75x^2-3 can be factored as (25x)^2 - 3 . The expression can be factored by taking the square root of the constant term and then using difference of squares.

In this case, the square root of -3 is not a real number, so it's not possible to factor it further.

So the final factored form of 75x^2-3 is (25x)^2 - 3.

User Peter Horne
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