Solve 5x^2-2y^3/frac{3{9}y^4(5x^10/43)}

$$\frac { 5 x ^ { 2 } - 2 y ^ { 3 } } { \frac { 3 } { 9 } y ^ { 4 } ( \frac { 5 x ^ { 10 } } { 43 } ) }$$

Evaluate

$$-\frac{258}{5yx^{10}}+\frac{129}{y^{4}x^{8}}$$

Short Solution Steps

Reduce the fraction \frac{3}{9} to lowest terms by extracting and canceling out 3.

$$\frac{5x^{2}-2y^{3}}{\frac{1}{3}y^{4}\times \frac{5x^{10}}{43}}$$

Multiply \frac{1}{3} times \frac{5x^{10}}{43} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5x^{2}-2y^{3}}{\frac{5x^{10}}{3\times 43}y^{4}}$$

Multiply 3 and 43 to get 129.

$$\frac{5x^{2}-2y^{3}}{\frac{5x^{10}}{129}y^{4}}$$

Express \frac{5x^{10}}{129}y^{4} as a single fraction.

$$\frac{5x^{2}-2y^{3}}{\frac{5x^{10}y^{4}}{129}}$$

Divide 5x^{2}-2y^{3} by \frac{5x^{10}y^{4}}{129} by multiplying 5x^{2}-2y^{3} by the reciprocal of \frac{5x^{10}y^{4}}{129}.

$$\frac{\left(5x^{2}-2y^{3}\right)\times 129}{5x^{10}y^{4}}$$

Use the distributive property to multiply 5x^{2}-2y^{3} by 129.

$$\frac{645x^{2}-258y^{3}}{5x^{10}y^{4}}$$

Expand

$$-\frac{258}{5yx^{10}}+\frac{129}{y^{4}x^{8}}$$

Short Solution Steps

Reduce the fraction \frac{3}{9} to lowest terms by extracting and canceling out 3.

$$\frac{5x^{2}-2y^{3}}{\frac{1}{3}y^{4}\times \frac{5x^{10}}{43}}$$

Multiply \frac{1}{3} times \frac{5x^{10}}{43} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5x^{2}-2y^{3}}{\frac{5x^{10}}{3\times 43}y^{4}}$$

Multiply 3 and 43 to get 129.

$$\frac{5x^{2}-2y^{3}}{\frac{5x^{10}}{129}y^{4}}$$

Express \frac{5x^{10}}{129}y^{4} as a single fraction.

$$\frac{5x^{2}-2y^{3}}{\frac{5x^{10}y^{4}}{129}}$$

Divide 5x^{2}-2y^{3} by \frac{5x^{10}y^{4}}{129} by multiplying 5x^{2}-2y^{3} by the reciprocal of \frac{5x^{10}y^{4}}{129}.

$$\frac{\left(5x^{2}-2y^{3}\right)\times 129}{5x^{10}y^{4}}$$

Use the distributive property to multiply 5x^{2}-2y^{3} by 129.

$$\frac{645x^{2}-258y^{3}}{5x^{10}y^{4}}$$