$\left(3r-2t\right)^{2}-25\left(r+t\right)^{2}$
You asked:
Evaluate the expression: \({\left( 3 r - 2 t \right)}^{2} - 25 {\left( r + t \right)}^{2}\)
MathBot Answer:
Evaluated
\(\displaystyle {\left( 3 r - 2 t \right)}^{2} - 25 {\left( r + t \right)}^{2} = \left(3 r - 2 t\right)^{2} - 25 \left(r + t\right)^{2} \)
Expanded
\[{\left( 3 r - 2 t \right)}^{2} - 25 {\left( r + t \right)}^{2} = - 16 r^{2} - 62 r t - 21 t^{2}\]
Factored
\[{\left( 3 r - 2 t \right)}^{2} - 25 {\left( r + t \right)}^{2} = - \left(2 r + 7 t\right) \left(8 r + 3 t\right)\]