What is expand (x-2)(x-5)(x-sqrt(3))(x+sqrt(3)) ?

The solution to expand (x-2)(x-5)(x-sqrt(3))(x+sqrt(3)) is x^4-7x^3+7x^2+21x-30

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (x-2)(x-5)(x-sqrt(3))(x+sqrt(3))

expand

(x - 2) (x - 5) (x - 3) (x + 3)

x^{4} - 7 x^{3} + 7 x^{2} + 21 x - 30

Solution steps

(x - 2) (x - 5) (x - 3) (x + 3)

Expand

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

= (x - 2) (x - 5) (x^{2} - 3)

Apply FOIL method

(x - 2) (x - 5) : x^{2} - 7 x + 10

= (x^{2} - 7 x + 10) (x^{2} - 3)

Distribute parentheses

= x^{2} x^{2} + x^{2} (- 3) - 7 x x^{2} - 7 x (- 3) + 10 x^{2} + 10 (- 3)

Simplify

x^{2} x^{2} + x^{2} (- 3) - 7 x x^{2} - 7 x (- 3) + 10 x^{2} + 10 (- 3) : x^{4} - 7 x^{3} + 7 x^{2} + 21 x - 30

= x^{4} - 7 x^{3} + 7 x^{2} + 21 x - 30

(x^{\frac{1}{3}} + 3)^{2}

- \frac{5 z - 8}{3 ( 8 + 5 z )}

\frac{e ^{x}}{( 1 + e ^{x} ) ^{2}}

(2 x - 4) d x

f (0, - 4)

What is expand (x-2)(x-5)(x-sqrt(3))(x+sqrt(3)) ?
The solution to expand (x-2)(x-5)(x-sqrt(3))(x+sqrt(3)) is x^4-7x^3+7x^2+21x-30