What is (x+5)^2-(x-5)^2 ?

The solution to (x+5)^2-(x-5)^2 is 20x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

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

20 x

Solution steps

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

Expand

(x + 5)^{2} : x^{2} + 10 x + 25

= x^{2} + 10 x + 25 - (x - 5)^{2}

Expand

- (x - 5)^{2} : - x^{2} + 10 x - 25

= x^{2} + 10 x + 25 - x^{2} + 10 x - 25

Group like terms

= x^{2} - x^{2} + 10 x + 10 x + 25 - 25

Add similar elements:

x^{2} - x^{2} = 0

= 10 x + 10 x + 25 - 25

Add similar elements:

10 x + 10 x = 20 x

= 20 x + 25 - 25

Subtract the numbers:

25 - 25 = 0

= 20 x

(3 x - 2) (- x^{2} + 8 x + 6)

(11 a - b + c) + (- 8 a - c)

\frac{20}{28}

- 9 + (- 4)

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