15x²-66x + (2x²+2x)²
You asked:
Evaluate the expression: \(15 \cdot {x}^{2} - 66 x + {\left( 2 \cdot {x}^{2} + 2 x \right)}^{2}\)
MathBot Answer:
Evaluated
\(\displaystyle 15 \cdot {x}^{2} - 66 x + {\left( 2 \cdot {x}^{2} + 2 x \right)}^{2} = 15 x^{2} - 66 x + \left(2 x^{2} + 2 x\right)^{2} \)
Expanded
\[15 \cdot {x}^{2} - 66 x + {\left( 2 \cdot {x}^{2} + 2 x \right)}^{2} = 4 x^{4} + 8 x^{3} + 19 x^{2} - 66 x\]
Factored
\[15 \cdot {x}^{2} - 66 x + {\left( 2 \cdot {x}^{2} + 2 x \right)}^{2} = x \left(4 x^{3} + 8 x^{2} + 19 x - 66\right)\]