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To determine if the expression (25x^2 - 30xy - 9y^2) is a perfect square, we can check if it can be factored into the form ((ax + by)^2). However, calculating the discriminant of the corresponding quadratic in terms of (y) shows that it is negative, indicating that it cannot be factored into real linear factors. Therefore, (25x^2 - 30xy - 9y^2) is not a perfect square.
What else can I help you with?
Is 25x2 70x plus 49 a perfect square trinomial?
Yes.
What is the square of 5x plus 1?
(5x + 1)2 = 25x2 + 10x + 1
Is 25x2 plus 30xy - 9y2 a perfect square trinomial?
To determine if (25x^2 + 30xy - 9y^2) is a perfect square trinomial, we check if it can be expressed in the form ((ax + by)^2). The first term, (25x^2), is ((5x)^2) and the last term, (-9y^2), is ((-3y)^2). However, the middle term should equal (2ab), which in this case would be (2(5x)(-3y) = -30xy). Since the middle term matches, (25x^2 + 30xy - 9y^2) is indeed a perfect square trinomial, specifically ((5x - 3y)^2).
Is 325 a perfect square?
No, 325 is not a perfect square however 324 is a perfect square.
Is 38 a perfect square?
38 is not a perfect square. Its square root is a fraction and the square root of a perfect square is always an integer.
Is 25x2 70x plus 49 a perfect square trinomial?
Yes.
Is 25x2-70x plus 49 a perfect square trinomial?
Yes because 25x2-70x+49 = (5x-7)(5x-7) when factored
How do you factor the binomial 25x2-36y2?
25x2 - 36y2If you notice that 25 and 36 are perfect squares, you know that your answer would be like the following: (5_ + 6_)(5_ - 6_)because 25x2 - 36y2 is a perfect square binomial, so their square roots fit that way. This only works if the middle sign is minus.From there, you just plug in the x's and y's to get:(5x + 6y)(5x - 6y)
What is the square of 5x plus 1?
(5x + 1)2 = 25x2 + 10x + 1
How do you factor 25x2-10xy plus y2?
25x2 - 10xy + y2 = (5x - y)2
Is 200 a perfect square?
200 is not a perfect square. Its square root is a fraction and the square root of a perfect square is always an integer.
Is 25x2 plus 30xy - 9y2 a perfect square trinomial?
To determine if (25x^2 + 30xy - 9y^2) is a perfect square trinomial, we check if it can be expressed in the form ((ax + by)^2). The first term, (25x^2), is ((5x)^2) and the last term, (-9y^2), is ((-3y)^2). However, the middle term should equal (2ab), which in this case would be (2(5x)(-3y) = -30xy). Since the middle term matches, (25x^2 + 30xy - 9y^2) is indeed a perfect square trinomial, specifically ((5x - 3y)^2).
Is 325 a perfect square?
No, 325 is not a perfect square however 324 is a perfect square.
What is a perfect square?
A perfect square is a square of an integer (a whole number).
Is 30 a perfect square?
30 is not a perfect square. Its square root is a fraction and the square root of a perfect square is always an integer.
Is 500 a perfect square?
500 is not a perfect square. Its square root is a fraction and the square root of a perfect square is always an integer.
Is 38 a perfect square?
38 is not a perfect square. Its square root is a fraction and the square root of a perfect square is always an integer.
