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

Similar Problems from Web Search

Share

\left(\frac{5}{2}m\right)^{2}-\left(\frac{1}{3}\right)^{2}
Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
\left(\frac{5}{2}\right)^{2}m^{2}-\left(\frac{1}{3}\right)^{2}
Expand \left(\frac{5}{2}m\right)^{2}.
\frac{25}{4}m^{2}-\left(\frac{1}{3}\right)^{2}
Calculate \frac{5}{2} to the power of 2 and get \frac{25}{4}.
\frac{25}{4}m^{2}-\frac{1}{9}
Calculate \frac{1}{3} to the power of 2 and get \frac{1}{9}.
\left(\frac{5}{2}m\right)^{2}-\left(\frac{1}{3}\right)^{2}
Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
\left(\frac{5}{2}\right)^{2}m^{2}-\left(\frac{1}{3}\right)^{2}
Expand \left(\frac{5}{2}m\right)^{2}.
\frac{25}{4}m^{2}-\left(\frac{1}{3}\right)^{2}
Calculate \frac{5}{2} to the power of 2 and get \frac{25}{4}.
\frac{25}{4}m^{2}-\frac{1}{9}
Calculate \frac{1}{3} to the power of 2 and get \frac{1}{9}.