7xy

7xy is a mathematical expression representing the product of seven, x, and y. In algebra, it is a monomial in two variables of total degree 2, with 7 as the coefficient multiplying the product x·y. Because multiplication of real numbers is commutative, 7xy = 7yx, and the order of the factors does not change the value.

In polynomial form, 7xy often appears as a cross term. For example, in a quadratic form such as ax^2 + bxy + cy^2 + dx + ey + f, the coefficient b would be 7 if the cross term is specifically 7xy. The expression can also be encountered in factorizations or in equations that describe relationships between two variables.

Geometrically, the equation 7xy = c (where c is a constant) defines a rectangular hyperbola in the xy-plane. For nonzero c, the graph consists of two branches located in opposite quadrants, with asymptotes along the coordinate axes. The factor 7 scales the curve, so increasing 7 compresses or expands the hyperbola in a way that preserves its overall shape.

Computationally, values can be substituted directly: for x = 2 and y = 3, 7xy equals 7 × 2 × 3 = 42. If either x or y is zero, the value is zero, reflecting the absence of the cross term in that instance.

Related concepts include monomials, polynomials, cross terms, quadratic forms, and hyperbolas. While 7xy is a standard algebraic term, the string may also appear in non-mathematical contexts as a label or identifier outside mathematics.