Solve (0.4p-0.5q)^2

$$( 0.4 p - 0.5 q ) ^ { 2 }$$

Evaluate

$$\left(\frac{2p}{5}-\frac{q}{2}\right)^{2}$$

Solution Steps

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(0.4p-0.5q\right)^{2}.

$$0.16p^{2}-0.4pq+0.25q^{2}$$

Expand

$$-\frac{2pq}{5}+\frac{4p^{2}}{25}+\frac{q^{2}}{4}$$

Solution Steps

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(0.4p-0.5q\right)^{2}.

$$0.16p^{2}-0.4pq+0.25q^{2}$$