1050*(6+x)-150*(x+6)^2+600+300x
You asked:
Evaluate the expression: \(1050 \cdot \left(6 + x\right) - 150 \cdot {\left( x + 6 \right)}^{2} + 600 + 300 x\)
MathBot Answer:
Evaluated
\(\displaystyle 1050 \cdot \left(6 + x\right) - 150 \cdot {\left( x + 6 \right)}^{2} + 600 + 300 x = 1350 x - 150 \left(x + 6\right)^{2} + 6900 \)
Expanded
\[1050 \cdot \left(6 + x\right) - 150 \cdot {\left( x + 6 \right)}^{2} + 600 + 300 x = - 150 x^{2} - 450 x + 1500\]
Factored
\[1050 \cdot \left(6 + x\right) - 150 \cdot {\left( x + 6 \right)}^{2} + 600 + 300 x = - 150 \left(x - 2\right) \left(x + 5\right)\]