x^2(x+1)^2+(x+2)^2
You asked:
Evaluate the expression: \({x}^{2} \cdot {\left( x + 1 \right)}^{2} + {\left( x + 2 \right)}^{2}\)
MathBot Answer:
Evaluated
\(\displaystyle {x}^{2} \cdot {\left( x + 1 \right)}^{2} + {\left( x + 2 \right)}^{2} = x^{2} \left(x + 1\right)^{2} + \left(x + 2\right)^{2} \)
Expanded
\[{x}^{2} \cdot {\left( x + 1 \right)}^{2} + {\left( x + 2 \right)}^{2} = x^{4} + 2 x^{3} + 2 x^{2} + 4 x + 4\]
Factored
\[{x}^{2} \cdot {\left( x + 1 \right)}^{2} + {\left( x + 2 \right)}^{2} = x^{4} + 2 x^{3} + 2 x^{2} + 4 x + 4\]