Solve {left(x-7/3right)}^2-49/36

$${ \left(x- \frac{ 7 }{ 3 } \right) }^{ 2 } - \frac{ 49 }{ 36 }$$

Evaluate

$$x^{2}-\frac{14x}{3}+\frac{49}{12}$$

Solution Steps

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-\frac{7}{3}\right)^{2}.

$$x^{2}-\frac{14}{3}x+\frac{49}{9}-\frac{49}{36}$$

Subtract \frac{49}{36} from \frac{49}{9} to get \frac{49}{12}.

$$x^{2}-\frac{14}{3}x+\frac{49}{12}$$

Expand

$$x^{2}-\frac{14x}{3}+\frac{49}{12}$$

Solution Steps

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-\frac{7}{3}\right)^{2}.

$$x^{2}-\frac{14}{3}x+\frac{49}{9}-\frac{49}{36}$$

Subtract \frac{49}{36} from \frac{49}{9} to get \frac{49}{12}.

$$x^{2}-\frac{14}{3}x+\frac{49}{12}$$