Question

question 8.
the expression $(12x^{12}+15x^{8})\div(3x^{4})$ is equivalent to $4x^{n}+5x^{m}$ when
$n =$ (select) and $m =$ (select)
options for n: 3, 8, 16

Explanation:

Step1: Split the division

$\frac{12x^{12} + 15x^8}{3x^4} = \frac{12x^{12}}{3x^4} + \frac{15x^8}{3x^4}$

Step2: Simplify first term

$\frac{12x^{12}}{3x^4} = 4x^{12-4} = 4x^8$

Step3: Simplify second term

$\frac{15x^8}{3x^4} = 5x^{8-4} = 5x^4$

Step4: Match exponents to $4x^n + 5x^m$

Compare $4x^8 + 5x^4$ with $4x^n + 5x^m$

Answer:

$n = 8$ and $m = 4$