Solve 5.1quad(x-6)^2

$$5.1 \quad ( x - 6 ) ^ { 2 }$$

Evaluate

$$\frac{51\left(x-6\right)^{2}}{10}$$

Solution Steps

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-6\right)^{2}.

$$5.1\left(x^{2}-12x+36\right)$$

Use the distributive property to multiply 5.1 by x^{2}-12x+36.

$$5.1x^{2}-61.2x+183.6$$

Expand

$$\frac{51x^{2}}{10}-\frac{306x}{5}+183.6$$

Solution Steps

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-6\right)^{2}.

$$5.1\left(x^{2}-12x+36\right)$$

Use the distributive property to multiply 5.1 by x^{2}-12x+36.

$$5.1x^{2}-61.2x+183.6$$