5
A quadratic. For example, x^2 + 3x - 7xy - 12y - 25 = 0
gcf(35x², 7xy², 21x²y²) = 7x 35x² = 5 times 7 times x² 7xy² = 7 times x times y² 21x²y² = 3 times 7 times x² times y² hcf = 7 times x = 7x (I've written the multiplication as times instead of using the × symbol to avoid confusion with the unknown x.)
It is: 7xy/21yz = x/3z when simplified
4
5
(xy - 7)(x^2y^2 + 7xy + 49)
The GCF is 7xy^3
5x(7xy + 6x + 8)
A quadratic. For example, x^2 + 3x - 7xy - 12y - 25 = 0
-7xy(x4y2 + 6x2y - 5)
gcf(35x², 7xy², 21x²y²) = 7x 35x² = 5 times 7 times x² 7xy² = 7 times x times y² 21x²y² = 3 times 7 times x² times y² hcf = 7 times x = 7x (I've written the multiplication as times instead of using the × symbol to avoid confusion with the unknown x.)
It means "1" is the magic number, like if you were to have a math problem that looked like this:7xy-xy+3xIt means use the "magic one" to combine 7xy and 1xyIf that doesn't make sense you should probably state the question like this:What does the "Magic 1" mean in math?
(xy + 7)(x^2y^2 - 7xy + 49)
x3y2 + 7x2y3 + 7xy - 2 + x2y3 + 8x3y2 - 3xy - 7 =9x3y2 + 8x2y3 + 4xy - 9 =xy ( 9x2y + 8xy2 + 4) - 9 =xy ( xy(9x + 8y) + 4) - 9 .This is still messy, but it's simpler than the octonomial in the question,and we can't see any more that can be done with it.