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.
It depends if you are adding or subtracting 24y^2. No matter what, factor out 6
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.
2(5x - 6y)(25x2 + 30xy + 36y2)
The LCM is 30xy.
The factor of -10x-30xy is -10x. This is because 10 is the highest number that both -10x and -30xy can be divided by, the "-" sign was added because it is another common element between -10x and -30xy, the same applies to the x. When factored, -10x-30xy looks like -10x(1+30y) [the x is not a multiplication symbol]. When expanding it both the 1 and the 30y are multiplied by -10x.
30xy
30xy
20
6x
30xy
It depends if you are adding or subtracting 24y^2. No matter what, factor out 6
Two or more numbers are required to find the greatest common factor between them.
Solve the brackets, starting from the innermost and working outwards: 2(7x+y(-3(5x-2y))) multiply by -3: 2(7x+y(-15x+6y)) multiply by y: 2(7x - 15xy+6y2) multiply by 2: 14x - 30xy + 12y2 I suspect, though, that there is something missing before the -3.