What is (x+5)(x^2-5x+25)-(x-5)(x^2+5x+25) ?

The solution to (x+5)(x^2-5x+25)-(x-5)(x^2+5x+25) is 250

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (x+5)(x^2-5x+25)-(x-5)(x^2+5x+25)

simplify

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

250

Solution steps

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

Expand

(x + 5) (x^{2} - 5 x + 25) : x^{3} + 125

= x^{3} + 125 - (x - 5) (x^{2} + 5 x + 25)

Expand

- (x - 5) (x^{2} + 5 x + 25) : - x^{3} + 125

= x^{3} + 125 - x^{3} + 125

Group like terms

= x^{3} - x^{3} + 125 + 125

Add similar elements:

x^{3} - x^{3} = 0

= 125 + 125

125 + 125 = 250

= 250

\frac{x ^{2} - x y}{x - y}

tan^{2} (x) - tan^{2} (x) sin^{2} (x)

\frac{1 + 2 i}{1 - i}

What is (x+5)(x^2-5x+25)-(x-5)(x^2+5x+25) ?
The solution to (x+5)(x^2-5x+25)-(x-5)(x^2+5x+25) is 250