The quotient of 12a^8b^8 + (-a^6b^6) is:

MCQ

The quotient of $12a^8b^8 + (-a^6b^6)$ is:

A
$3a^2b^2$
B
$3a^2b$
C
$3ab^2$
✓
$-3a^2b^2$

✓

Answer

Correct option: D.

$-3a^2b^2$

D. $-3a^2b^2$
Solution:
$=-\frac{12\text{a}^8\text{b}^8}{4\text{a}^6\text{b}^8}$
$=-\frac{2\times2\times3\times\text{a}\times\text{a}\times\text{a}\times\text{a}\times\text{a}\times\text{a}\times\text{a}\times\text{a}\times\text{b}\times\text{b}\times\text{b}\times\text{b}\times\text{b}\times\text{b}\times\text{b}\times\text{b}}{2\times2\times\text{a}\times\text{a}\times\text{a}\times\text{a}\times\text{a}\times\text{a}\times\text{b}\times\text{b}\times\text{b}\times\text{b}\times\text{b}\times\text{b}}$
$=-3\text{a}^2\text{b}^2$

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