Question

If $m=2$, find the difference between the values of $4m^3$ and $3m^4$.

Answer 1

Finding the value of $4m^3$
Substitute $m=2$ in $4m^3$
$4m^3=4(2{)}^3$
$=4\times 8=32\dots \left(1\right)$
.......[1 Mark]
Finding value of $3m^4$
Substitute $m=2$ in $3m^4$
$3m^4=3\left(2^4\right)$
$=3\times 16$
$=48\dots \left(2\right)$
.......[1 Mark]
Finding the difference between two expression $4m^3$ and $3m^4$.
Subtracting equation $\left(1\right)$ from equation $\left(2\right)$
we get
$3m^4-4m^3=48-32=16$
.......[1 Mark]
Hence, the difference between the values of $4m^3$ and $3m^4$ is $16$ when $m=2$