Lutasin ang 3x^4/(x-3)(x+3)/frac{x^7{left(x+3right)^2}}

$$\frac{ \frac{ 3 { x }^{ 4 } }{ (x-3)(x+3) } }{ \frac{ { x }^{ 7 } }{ { \left(x+3 \right) }^{ 2 } } }$$

I-evaluate

$$\frac{3\left(x+3\right)}{\left(x-3\right)x^{3}}$$

Maiikling Hakbang sa Solution

I-divide ang \frac{3x^{4}}{\left(x-3\right)\left(x+3\right)} gamit ang \frac{x^{7}}{\left(x+3\right)^{2}} sa pamamagitan ng pagmu-multiply sa \frac{3x^{4}}{\left(x-3\right)\left(x+3\right)} gamit ang reciprocal ng \frac{x^{7}}{\left(x+3\right)^{2}}.

$$\frac{3x^{4}\left(x+3\right)^{2}}{\left(x-3\right)\left(x+3\right)x^{7}}$$

I-cancel out ang \left(x+3\right)x^{4} sa parehong numerator at denominator.

$$\frac{3\left(x+3\right)}{\left(x-3\right)x^{3}}$$

Gamitin ang distributive property para i-multiply ang 3 gamit ang x+3.

$$\frac{3x+9}{\left(x-3\right)x^{3}}$$

Gamitin ang distributive property para i-multiply ang x-3 gamit ang x^{3}.

$$\frac{3x+9}{x^{4}-3x^{3}}$$

Palawakin

$$\frac{3\left(x+3\right)}{\left(x-3\right)x^{3}}$$

Maiikling Hakbang sa Solution

I-divide ang \frac{3x^{4}}{\left(x-3\right)\left(x+3\right)} gamit ang \frac{x^{7}}{\left(x+3\right)^{2}} sa pamamagitan ng pagmu-multiply sa \frac{3x^{4}}{\left(x-3\right)\left(x+3\right)} gamit ang reciprocal ng \frac{x^{7}}{\left(x+3\right)^{2}}.

$$\frac{3x^{4}\left(x+3\right)^{2}}{\left(x-3\right)\left(x+3\right)x^{7}}$$

I-cancel out ang \left(x+3\right)x^{4} sa parehong numerator at denominator.

$$\frac{3\left(x+3\right)}{\left(x-3\right)x^{3}}$$

Gamitin ang distributive property para i-multiply ang 3 gamit ang x+3.

$$\frac{3x+9}{\left(x-3\right)x^{3}}$$

Gamitin ang distributive property para i-multiply ang x-3 gamit ang x^{3}.

$$\frac{3x+9}{x^{4}-3x^{3}}$$