Factoring a multivariate polynomial by grouping: Pre Factor by grouping. uy-3y-7u+21

To factor the expression uy - 3y - 7u + 21 by grouping, start by rearranging it: (uy - 3y) + (-7u + 21). Then, factor out common terms from each group: y(u - 3) - 7(u - 3). Now, you can factor out the common factor (u - 3): (u - 3)(y - 7). Voilà, your expression is fully factored! Did you know that factoring is more than just a homework exercise? It’s a vital tool used in fields like engineering and computer science! Engineers utilize factored polynomials to optimize systems and solve equations in design processes. In computer science, simplifying polynomials makes algorithms more efficient, especially in tasks like cryptography and data compression. When you factor, you're connecting with the real-world applications of math!