(450+280)^2-(450-280)^2/(450 x 280)

asked by guest
on Dec 28, 2024 at 6:54 am



You asked:

Evaluate the expression: (450+280)2−(450−280)2450⋅280{\left( 450 + 280 \right)}^{2} - \frac{{\left( 450 - 280 \right)}^{2}}{450 \cdot 280}

MathBot Answer:

(450+280)2−(450−280)2450⋅280=6714537111260=532899.77063492‾{\left( 450 + 280 \right)}^{2} - \frac{{\left( 450 - 280 \right)}^{2}}{450 \cdot 280} = \frac{671453711}{1260} = 532899.77\overline{063492}

(450+280)2−(450−280)2450⋅280=7302−(450−280)2450⋅280=532900−(450−280)2450⋅280=532900−1702450⋅280=532900−28900450⋅280=532900−28900126000=532900−2891260=6714537111260\begin{aligned}{\left( 450 + 280 \right)}^{2} - \frac{{\left( 450 - 280 \right)}^{2}}{450 \cdot 280}&={730}^{2} - \frac{{\left( 450 - 280 \right)}^{2}}{450 \cdot 280}\\&=532900 - \frac{{\left( 450 - 280 \right)}^{2}}{450 \cdot 280}\\&=532900 - \frac{{170}^{2}}{450 \cdot 280}\\&=532900 - \frac{28900}{450 \cdot 280}\\&=532900 - \frac{28900}{126000}\\&=532900 - \frac{289}{1260}\\&=\frac{671453711}{1260}\end{aligned}

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