Solve -0.008left(x+0.006right)^2

$$-0.008 { \left(x+0.006 \right) }^{ 2 }$$

Evaluate

$$-\frac{\left(x+0.006\right)^{2}}{125}$$

Solution Steps

Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+0.006\right)^{2}.

$$-0.008\left(x^{2}+0.012x+0.000036\right)$$

Use the distributive property to multiply -0.008 by x^{2}+0.012x+0.000036.

$$-0.008x^{2}-0.000096x-0.000000288$$

Expand

$$-\frac{x^{2}}{125}-\frac{3x}{31250}-0.000000288$$

Solution Steps

Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+0.006\right)^{2}.

$$-0.008\left(x^{2}+0.012x+0.000036\right)$$

Use the distributive property to multiply -0.008 by x^{2}+0.012x+0.000036.

$$-0.008x^{2}-0.000096x-0.000000288$$