It is: 7xy/21yz = x/3z when simplified
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4
1xy
Usually simple substitutions enable such expressions to be seen as quadratic expressions. The substitutions x = a2 and y = b2 give a4 + b4 - 7a2b2 = x2 - 7xy + y2 which does not have any rational factors. Consequently, the quartic in a and b does not have rational factors.
All of these are monomials. The binomials are algebraic expressions consisting of two terms. A term is a constant, a variable, or a combination of constants and variables. 2y, 2x, y, and 2xy consisting of only one term, so they are monomials. Examples of binomials: 2 + 5, 2x + 3, 3x + 7y, 2xyz + 7xy,...
The factors of 7xyz would include 1, 7, x, y, z, and any combination of these factors. Factors are numbers or variables that can be multiplied together to give the original number or expression. In this case, the factors of 7xyz would be all the numbers and variables that divide evenly into 7xyz without leaving a remainder.