3𝑃^3𝑄+18𝑃^2𝑄^2+6𝑃𝑄^3

asked by guest
on Jan 22, 2025 at 7:54 pm



You asked:

Evaluate the expression: \(3 {P}^{3} Q + 18 {P}^{2} {Q}^{2} + 6 P {Q}^{3}\)

MathBot Answer:

Evaluated



\(\displaystyle 3 {P}^{3} Q + 18 {P}^{2} {Q}^{2} + 6 P {Q}^{3} = 3 P^{3} Q + 18 P^{2} Q^{2} + 6 Q^{3} P \)


Factored

\[3 {P}^{3} Q + 18 {P}^{2} {Q}^{2} + 6 P {Q}^{3} = 3 P Q \left(P^{2} + 6 P Q + 2 Q^{2}\right)\]