(2x+3)^2 - (x+5)^2
You asked:
Evaluate the expression: \({\left( 2 x + 3 \right)}^{2} - {\left( x + 5 \right)}^{2}\)
MathBot Answer:
Evaluated
\(\displaystyle {\left( 2 x + 3 \right)}^{2} - {\left( x + 5 \right)}^{2} = \left(2 x + 3\right)^{2} - \left(x + 5\right)^{2} \)
Expanded
\[{\left( 2 x + 3 \right)}^{2} - {\left( x + 5 \right)}^{2} = 3 x^{2} + 2 x - 16\]
Factored
\[{\left( 2 x + 3 \right)}^{2} - {\left( x + 5 \right)}^{2} = \left(3 x + 8\right) \left(x - 2\right)\]