Solve (x-2)(x+11/9)

$$(x-2)(x+ \frac{ 11 }{ 9 } )$$

Evaluate

$$x^{2}-\frac{7x}{9}-\frac{22}{9}$$

Solution Steps

Apply the distributive property by multiplying each term of x-2 by each term of x+\frac{11}{9}.

$$x^{2}+x\times \frac{11}{9}-2x-2\times \frac{11}{9}$$

Combine x\times \frac{11}{9} and -2x to get -\frac{7}{9}x.

$$x^{2}-\frac{7}{9}x-2\times \frac{11}{9}$$

Express -2\times \frac{11}{9} as a single fraction.

$$x^{2}-\frac{7}{9}x+\frac{-2\times 11}{9}$$

Multiply -2 and 11 to get -22.

$$x^{2}-\frac{7}{9}x+\frac{-22}{9}$$

Fraction \frac{-22}{9} can be rewritten as -\frac{22}{9} by extracting the negative sign.

$$x^{2}-\frac{7}{9}x-\frac{22}{9}$$

Expand

$$x^{2}-\frac{7x}{9}-\frac{22}{9}$$

Solution Steps

Apply the distributive property by multiplying each term of x-2 by each term of x+\frac{11}{9}.

$$x^{2}+x\times \frac{11}{9}-2x-2\times \frac{11}{9}$$

Combine x\times \frac{11}{9} and -2x to get -\frac{7}{9}x.

$$x^{2}-\frac{7}{9}x-2\times \frac{11}{9}$$

Express -2\times \frac{11}{9} as a single fraction.

$$x^{2}-\frac{7}{9}x+\frac{-2\times 11}{9}$$

Multiply -2 and 11 to get -22.

$$x^{2}-\frac{7}{9}x+\frac{-22}{9}$$

Fraction \frac{-22}{9} can be rewritten as -\frac{22}{9} by extracting the negative sign.

$$x^{2}-\frac{7}{9}x-\frac{22}{9}$$