(xy%2B6)(xy-8).jpeg "(xy-1)(xy+6)(xy-8)")
Factoring the Expression (xy-1)(xy+6)(xy-8)
The expression (xy-1)(xy+6)(xy-8) is already factored in its simplest form.
Here's why:
- It's a product of three binomials: Each factor is a binomial (an expression with two terms).
- The binomials are irreducible: Each binomial cannot be further factored into simpler expressions with integer coefficients.
Understanding the Factors:
- (xy - 1): This binomial represents a difference of terms.
- (xy + 6): This binomial represents a sum of terms.
- (xy - 8): This binomial represents a difference of terms.
Possible Applications:
This factored expression might be useful in various mathematical contexts, including:
- Solving equations: If you set the expression equal to zero, you can find the values of x and y that satisfy the equation.
- Finding roots: The factors represent the roots of the equation when set to zero.
- Graphing functions: The factors can help determine the x and y intercepts of the function represented by the expression.
In summary: The expression (xy-1)(xy+6)(xy-8) is already in its simplest factored form. It represents a product of three irreducible binomials. Depending on the context, this factored form might be useful for solving equations, finding roots, or graphing functions.