x^2 + 6x + 10 (x+a)^2 + b
You asked:
Evaluate the expression: \({x}^{2} + 6 x + 10 {\left( x + a \right)}^{2} + b\)
MathBot Answer:
Evaluated
\(\displaystyle {x}^{2} + 6 x + 10 {\left( x + a \right)}^{2} + b = b + x^{2} + 6 x + 10 \left(a + x\right)^{2} \)
Expanded
\[{x}^{2} + 6 x + 10 {\left( x + a \right)}^{2} + b = 10 a^{2} + 20 a x + b + 11 x^{2} + 6 x\]
Factored
\[{x}^{2} + 6 x + 10 {\left( x + a \right)}^{2} + b = 10 a^{2} + 20 a x + b + 11 x^{2} + 6 x\]