Solve 3x^2+18x^2/x-10:1/3x^2

$$\frac { 3 x ^ { 2 } + 18 x ^ { 2 } } { x - 10 } : \frac { 1 } { 3 x ^ { 2 } }$$

Evaluate

$$\frac{63x^{4}}{x-10}$$

Solution Steps

Divide \frac{3x^{2}+18x^{2}}{x-10} by \frac{1}{3x^{2}} by multiplying \frac{3x^{2}+18x^{2}}{x-10} by the reciprocal of \frac{1}{3x^{2}}.

$$\frac{\left(3x^{2}+18x^{2}\right)\times 3x^{2}}{x-10}$$

Combine 3x^{2} and 18x^{2} to get 21x^{2}.

$$\frac{21x^{2}\times 3x^{2}}{x-10}$$

Multiply 21 and 3 to get 63.

$$\frac{63x^{2}x^{2}}{x-10}$$

To multiply powers of the same base, add their exponents. Add 2 and 2 to get 4.

$$\frac{63x^{4}}{x-10}$$

Expand

$$\frac{63x^{4}}{x-10}$$

Solution Steps

Divide \frac{3x^{2}+18x^{2}}{x-10} by \frac{1}{3x^{2}} by multiplying \frac{3x^{2}+18x^{2}}{x-10} by the reciprocal of \frac{1}{3x^{2}}.

$$\frac{\left(3x^{2}+18x^{2}\right)\times 3x^{2}}{x-10}$$

Combine 3x^{2} and 18x^{2} to get 21x^{2}.

$$\frac{21x^{2}\times 3x^{2}}{x-10}$$

Multiply 21 and 3 to get 63.

$$\frac{63x^{2}x^{2}}{x-10}$$

To multiply powers of the same base, add their exponents. Add 2 and 2 to get 4.

$$\frac{63x^{4}}{x-10}$$