Thus, the factored form is $\boxed{(4x - 5)^2}$.

Sat, 02 May 2026 19:05:05 +0000

Understanding the Factored Form: Why It Powers Simplification — The Case of $(4x - 5)^2$ In algebra, recognizing and working with factored forms can transform complex expressions into manageable tools for solving equations, simplifying calculations, and analyzing functions. One powerful example is the expression $oxed{(4x - 5)^2}$, which demonstrates how a binomial squared appearance directly reflects a deeper structure essential for algebraic problem-solving. ### Why Factored Form Matters Factoring transforms a polynomial into a product of simpler expressions. In the case of $(4x - 5)^2$, the factorization reveals a repeated binomial, which is an expression of the form $(a - b)^2 = a^2 - 2ab + b^2$. More importantly, this form highlights symmetry and key features such as roots, symmetry axes, and key coefficients — powerful insights for graphing, solving, and simplifying.