en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (x-2)^2+8(x-2)+5

Solution

simplify

(x - 2)^{2} + 8 (x - 2) + 5

Solution

x^{2} + 4 x - 7

Solution steps

(x - 2)^{2} + 8 (x - 2) + 5

Expand

(x - 2)^{2} : x^{2} - 4 x + 4

= x^{2} - 4 x + 4 + 8 (x - 2) + 5

Expand

8 (x - 2) : 8 x - 16

= x^{2} - 4 x + 4 + 8 x - 16 + 5

Group like terms

= x^{2} - 4 x + 8 x + 4 - 16 + 5

Add similar elements:

- 4 x + 8 x = 4 x

= x^{2} + 4 x + 4 - 16 + 5

Add the numbers:

4 - 16 + 5 = - 7

= x^{2} + 4 x - 7

Popular Examples

factor x^3-3x^2-6x+18 factor

x^{3} - 3 x^{2} - 6 x + 18

factor 9x^2-25y^4 factor

9 x^{2} - 25 y^{4}

simplify \sqrt[3]{2}*\sqrt[4]{2}simplify

expand (2a+4)^2 expand

(2 a + 4)^{2}

simplify-10+(-6)simplify

- 10 + (- 6)

Frequently Asked Questions (FAQ)

What is (x-2)^2+8(x-2)+5 ?
The solution to (x-2)^2+8(x-2)+5 is x^2+4x-7