Solve (-0,8x-0,5b)^2

$$( - 0,8 x - 0,5 b ) ^ { 2 }$$

Evaluate

$$\left(\frac{b}{2}+\frac{4x}{5}\right)^{2}$$

Solution Steps

Use binomial theorem \left(p-q\right)^{2}=p^{2}-2pq+q^{2} to expand \left(-0,8x-0,5b\right)^{2}.

$$0,64x^{2}+0,8xb+0,25b^{2}$$

Expand

$$\frac{4bx}{5}+\frac{16x^{2}}{25}+\frac{b^{2}}{4}$$

Solution Steps

Use binomial theorem \left(p-q\right)^{2}=p^{2}-2pq+q^{2} to expand \left(-0,8x-0,5b\right)^{2}.

$$0,64x^{2}+0,8xb+0,25b^{2}$$