5^2 - (2)(5)(3)+ 3^2

asked by guest
on Nov 17, 2024 at 3:47 pm



You asked:

Evaluate the expression: \({5}^{2} - 2 \cdot 5 \cdot 3 + {3}^{2}\)

MathBot Answer:

\[{5}^{2} - 2 \cdot 5 \cdot 3 + {3}^{2} = 4\]


\[\begin{aligned}{5}^{2} - 2 \cdot 5 \cdot 3 + {3}^{2}& = 5^{2} - 2 \cdot 5 \cdot 3 + 3^{2}\\& = 25 - 2 \cdot 5 \cdot 3 + 3^{2}\\& = 25 - 10 \cdot 3 + 3^{2}\\& = 25 - 30 + 3^{2}\\& = 25 - 30 + 9\\& = -5 + 9\\& = 4\end{aligned}\]