2x³y+3xz² if x=2 y=3 and z=4

asked by guest
on Nov 16, 2024 at 8:45 am



You asked:

Calculate the value of 2x3y+3xz22 {x}^{3} y + 3 x {z}^{2} when x=2x = 2, y=3y = 3, and z=4z = 4.

MathBot Answer:

2x3y+3xz2=1442 {x}^{3} y + 3 x {z}^{2} = 144


2x3y+3z2x=2323+3422=3422+238=238+3162=3162+48=48+96=144\begin{aligned}2 x^{3} y + 3 z^{2} x&=2 \cdot 3 \cdot 2^{3} + 3 \cdot 4^{2} \cdot 2\\&=3 \cdot 4^{2} \cdot 2 + 2 \cdot 3 \cdot 8\\&=2 \cdot 3 \cdot 8 + 3 \cdot 16 \cdot 2\\&=3 \cdot 16 \cdot 2 + 48\\&=48 + 96\\&=144\end{aligned}