Solve 1/16(4e-12s)^2

$$\frac { 1 } { 16 } ( 4 e - 12 s ) ^ { 2 }$$

Evaluate

$$\left(e-3s\right)^{2}$$

Solution Steps

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(4e-12s\right)^{2}.

$$\frac{1}{16}\left(16e^{2}-96es+144s^{2}\right)$$

Use the distributive property to multiply \frac{1}{16} by 16e^{2}-96es+144s^{2}.

$$e^{2}-6es+9s^{2}$$

Expand

$$9s^{2}-6es+e^{2}$$

Solution Steps

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(4e-12s\right)^{2}.

$$\frac{1}{16}\left(16e^{2}-96es+144s^{2}\right)$$

Use the distributive property to multiply \frac{1}{16} by 16e^{2}-96es+144s^{2}.

$$e^{2}-6es+9s^{2}$$