( 1,5 r + \frac { 2 } { 3 } s ) ^ { 2 }
Evaluate
\frac{\left(\frac{9r}{2}+2s\right)^{2}}{9}
Expand
2rs+\frac{4s^{2}}{9}+\frac{9r^{2}}{4}
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2,25r^{2}+2rs+\frac{4}{9}s^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(1,5r+\frac{2}{3}s\right)^{2}.
2,25r^{2}+2rs+\frac{4}{9}s^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(1,5r+\frac{2}{3}s\right)^{2}.
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