Question

the expression 15x(x^2 + 8) is equivalent to ax^b + cx, where a, b, and c are constants. what is the value of abc?

Explanation:

Step1: Expand the given expression

$15x(x^{2}+8)=15x\times x^{2}+15x\times8 = 15x^{3}+120x$

Step2: Identify the values of a, b, and c

Comparing with $ax^{b}+cx$, we have $a = 15$, $b=3$, $c = 120$.

Step3: Calculate the value of abc

$abc=15\times3\times120=5400$

Answer:

$5400$