Solve 0.5pi(x-1)^2

$$0.5 \pi ( x - 1 ) ^ { 2 }$$

Evaluate

$$\frac{\pi \left(x-1\right)^{2}}{2}$$

Solution Steps

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-1\right)^{2}.

$$0.5\pi \left(x^{2}-2x+1\right)$$

Use the distributive property to multiply 0.5\pi by x^{2}-2x+1.

$$0.5\pi x^{2}-\pi x+0.5\pi$$

Expand

$$\frac{\pi x^{2}}{2}-\pi x+\frac{\pi }{2}$$

Solution Steps

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-1\right)^{2}.

$$0.5\pi \left(x^{2}-2x+1\right)$$

Use the distributive property to multiply 0.5\pi by x^{2}-2x+1.

$$0.5\pi x^{2}-\pi x+0.5\pi$$