Solve 0,3(200-5x)^2

$$0,3 ( 200 - 5 x ) ^ { 2 }$$

Evaluate

$$\frac{15\left(40-x\right)^{2}}{2}$$

Solution Steps

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(200-5x\right)^{2}.

$$0,3\left(40000-2000x+25x^{2}\right)$$

Use the distributive property to multiply 0,3 by 40000-2000x+25x^{2}.

$$12000-600x+7,5x^{2}$$

Expand

$$\frac{15x^{2}}{2}-600x+12000$$

Solution Steps

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(200-5x\right)^{2}.

$$0,3\left(40000-2000x+25x^{2}\right)$$

Use the distributive property to multiply 0,3 by 40000-2000x+25x^{2}.

$$12000-600x+7,5x^{2}$$