600-200Q+350Q²+30Q³ given Q= 20

asked by guest
on Nov 30, 2024 at 12:36 am



You asked:

Calculate the value of \(600 - 200 Q + 350 {Q}^{2} + 30 {Q}^{3}\) when \(Q = 20\).

MathBot Answer:

\[600 - 200 Q + 350 {Q}^{2} + 30 {Q}^{3} = 376600\]

$$\begin{aligned}30 Q^{3} + 350 Q^{2} - 200 Q + 600&=30 \cdot 20^{3} + 350 \cdot 20^{2} + 600 - 200 \cdot 20\\&=600 - 200 \cdot 20 + 350 \cdot 400 + 30 \cdot 400 \cdot 20\\&=600 - 200 \cdot 20 + 30 \cdot 400 \cdot 20 + 140000\\&=600 + 30 \cdot 400 \cdot 20 -4000 + 140000\\&=600 -4000 + 140000 + 240000\\&=376600\end{aligned}$$


+ Submit Question