(xy-1)(xy+6)(xy-8)

2 min read Jun 17, 2024
(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.

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