Skip to main content
Evaluate
Tick mark Image
Expand
Tick mark Image
Graph

Similar Problems from Web Search

Share

2x\left(x^{5}+\frac{3}{x^{7}}\right)
To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.
2x\left(\frac{x^{5}x^{7}}{x^{7}}+\frac{3}{x^{7}}\right)
To add or subtract expressions, expand them to make their denominators the same. Multiply x^{5} times \frac{x^{7}}{x^{7}}.
2x\times \frac{x^{5}x^{7}+3}{x^{7}}
Since \frac{x^{5}x^{7}}{x^{7}} and \frac{3}{x^{7}} have the same denominator, add them by adding their numerators.
2x\times \frac{x^{12}+3}{x^{7}}
Do the multiplications in x^{5}x^{7}+3.
\frac{2\left(x^{12}+3\right)}{x^{7}}x
Express 2\times \frac{x^{12}+3}{x^{7}} as a single fraction.
\frac{2x^{12}+6}{x^{7}}x
Use the distributive property to multiply 2 by x^{12}+3.
\frac{\left(2x^{12}+6\right)x}{x^{7}}
Express \frac{2x^{12}+6}{x^{7}}x as a single fraction.
\frac{2x^{12}+6}{x^{6}}
Cancel out x in both numerator and denominator.
2x\left(x^{5}+\frac{3}{x^{7}}\right)
To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.
2x\left(\frac{x^{5}x^{7}}{x^{7}}+\frac{3}{x^{7}}\right)
To add or subtract expressions, expand them to make their denominators the same. Multiply x^{5} times \frac{x^{7}}{x^{7}}.
2x\times \frac{x^{5}x^{7}+3}{x^{7}}
Since \frac{x^{5}x^{7}}{x^{7}} and \frac{3}{x^{7}} have the same denominator, add them by adding their numerators.
2x\times \frac{x^{12}+3}{x^{7}}
Do the multiplications in x^{5}x^{7}+3.
\frac{2\left(x^{12}+3\right)}{x^{7}}x
Express 2\times \frac{x^{12}+3}{x^{7}} as a single fraction.
\frac{2x^{12}+6}{x^{7}}x
Use the distributive property to multiply 2 by x^{12}+3.
\frac{\left(2x^{12}+6\right)x}{x^{7}}
Express \frac{2x^{12}+6}{x^{7}}x as a single fraction.
\frac{2x^{12}+6}{x^{6}}
Cancel out x in both numerator and denominator.