Lutasin ang 3p^2+p-2/5p-4div3p^2-11p+6/20p^3-16p^2

$$\frac { 3 p ^ { 2 } + p - 2 } { 5 p - 4 } \div \frac { 3 p ^ { 2 } - 11 p + 6 } { 20 p ^ { 3 } - 16 p ^ { 2 } }$$

I-evaluate

$$\frac{4\left(p+1\right)p^{2}}{p-3}$$

Maiikling Hakbang sa Solution

I-divide ang \frac{3p^{2}+p-2}{5p-4} gamit ang \frac{3p^{2}-11p+6}{20p^{3}-16p^{2}} sa pamamagitan ng pagmu-multiply sa \frac{3p^{2}+p-2}{5p-4} gamit ang reciprocal ng \frac{3p^{2}-11p+6}{20p^{3}-16p^{2}}.

$$\frac{\left(3p^{2}+p-2\right)\left(20p^{3}-16p^{2}\right)}{\left(5p-4\right)\left(3p^{2}-11p+6\right)}$$

I-factor ang mga expression na hindi pa na-factor.

$$\frac{4\left(3p-2\right)\left(5p-4\right)\left(p+1\right)p^{2}}{\left(p-3\right)\left(3p-2\right)\left(5p-4\right)}$$

I-cancel out ang \left(3p-2\right)\left(5p-4\right) sa parehong numerator at denominator.

$$\frac{4\left(p+1\right)p^{2}}{p-3}$$

Palawakin ang expression.

$$\frac{4p^{3}+4p^{2}}{p-3}$$

Palawakin

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

Maiikling Hakbang sa Solution

I-divide ang \frac{3p^{2}+p-2}{5p-4} gamit ang \frac{3p^{2}-11p+6}{20p^{3}-16p^{2}} sa pamamagitan ng pagmu-multiply sa \frac{3p^{2}+p-2}{5p-4} gamit ang reciprocal ng \frac{3p^{2}-11p+6}{20p^{3}-16p^{2}}.

$$\frac{\left(3p^{2}+p-2\right)\left(20p^{3}-16p^{2}\right)}{\left(5p-4\right)\left(3p^{2}-11p+6\right)}$$

I-factor ang mga expression na hindi pa na-factor.

$$\frac{4\left(3p-2\right)\left(5p-4\right)\left(p+1\right)p^{2}}{\left(p-3\right)\left(3p-2\right)\left(5p-4\right)}$$

I-cancel out ang \left(3p-2\right)\left(5p-4\right) sa parehong numerator at denominator.

$$\frac{4\left(p+1\right)p^{2}}{p-3}$$

Palawakin ang expression.

$$\frac{4p^{3}+4p^{2}}{p-3}$$