Question

Tính

\(\frac{437^2-363^2}{537^2-463^2}\)

Answer 1

\(\frac{437^2-363^2}{537^2-463^2}\)

\(=\frac{\left(437-363\right)\left(437+363\right)}{\left(537-463\right)\left(537+463\right)}\)

\(=\frac{74.800}{74.1000}\)

\(=\frac{80}{1000}=\frac{2}{25}\)

Answer 2

\(\frac{437^2-363^2}{537^2-463^2}\)

\(=\frac{\left(437-363\right)\left(437+363\right)}{\left(537-463\right)\left(537+463\right)}\)( Áp dụng hằng đẳng thức \(A^2-B^2=\left(A-B\right)\left(A+B\right)\))

\(=\frac{74\cdot800}{74\cdot1000}\)

\(=\frac{4}{5}\)