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

asked by guest
on Nov 24, 2024 at 3:23 am



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

\[{\left( 2 x + 3 \right)}^{2} - {\left( x + 5 \right)}^{2} = \left(3 x + 8\right) \left(x - 2\right)\]