en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (x-1)^2-7(x-1)+12

Solution

simplify

(x - 1)^{2} - 7 (x - 1) + 12

Solution

x^{2} - 9 x + 20

Solution steps

(x - 1)^{2} - 7 (x - 1) + 12

Expand

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

= x^{2} - 2 x + 1 - 7 (x - 1) + 12

Expand

- 7 (x - 1) : - 7 x + 7

= x^{2} - 2 x + 1 - 7 x + 7 + 12

Group like terms

= x^{2} - 2 x - 7 x + 1 + 7 + 12

Add similar elements:

- 2 x - 7 x = - 9 x

= x^{2} - 9 x + 1 + 7 + 12

Add the numbers:

1 + 7 + 12 = 20

= x^{2} - 9 x + 20

Popular Examples

expand (n^3-0.5)^2 expand

(n^{3} - 0.5)^{2}

simplify 5(a+h)^2-(a+h)+2 simplify

5 (a + h)^{2} - (a + h) + 2

simplify e/1 simplify

\frac{e}{1}

simplify (14x^2)/(21y)simplify

\frac{14 x ^{2}}{21 y}

simplify 45^{1/2}simplify

4 5^{\frac{1}{2}}

Frequently Asked Questions (FAQ)

What is (x-1)^2-7(x-1)+12 ?
The solution to (x-1)^2-7(x-1)+12 is x^2-9x+20