What is 9(x-1)-(x-1)^2 ?

The solution to 9(x-1)-(x-1)^2 is -x^2+11x-10

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 9(x-1)-(x-1)^2

simplify

9 (x - 1) - (x - 1)^{2}

- x^{2} + 11 x - 10

Solution steps

9 (x - 1) - (x - 1)^{2}

Expand

9 (x - 1) : 9 x - 9

= 9 x - 9 - (x - 1)^{2}

Expand

- (x - 1)^{2} : - x^{2} + 2 x - 1

= 9 x - 9 - x^{2} + 2 x - 1

Group like terms

= - x^{2} + 9 x + 2 x - 9 - 1

Add similar elements:

9 x + 2 x = 11 x

= - x^{2} + 11 x - 9 - 1

Subtract the numbers:

- 9 - 1 = - 10

= - x^{2} + 11 x - 10

\frac{500 ( \frac{1}{2} ) ^{1001}}{1001}

\frac{3 - 5 + x}{1 - 5 - x}

85 + 25 + 5^{2} \cdot (12 - 8) - 2 \cdot 3

\frac{cos ( x ) tan ( x )}{sin ( x )} - cos^{2} (x)

\frac{( x + 3 ) ( x - 8 )}{( x + 3 ) ( x + 8 )}