Question

`30{d}^(2) {f}^(8) - 12 {d}^(3) {f}^(6) + 6 {d}^(2) {f}^(9) / 6 {f}^(9) {d}^(2)`

30{d}^{2} {f}^{8} - 12 {d}^{3} {f}^{6} + 6 {d}^{2} {f}^{9} \div 6 {f}^{9} {d}^{2}
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Answer 1

We can simplify the given expression by canceling out the common factors.

First, we can simplify the expression inside the parentheses by dividing every term by 6df^6:

$$\frac{30d^2f^8 - 12d^3f^6 + 6d^2f^9}{6df^6}$$

$$= \frac{5f^2}{d} - 2d + f^3$$

Therefore, the simplified expression is:

$$\frac{30d^2f^8 - 12d^3f^6 + 6d^2f^9}{6df^9d^2} = \frac{5f^2}{d} - \frac{2}{d} + \frac{f^3}{d^2}$$

Answer: $$\frac{5f^2}{d} - \frac{2}{d} + \frac{f^3}{d^2}$$