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

The solution to expand (-x^2+2x+5)^2 is x^4-4x^3-6x^2+20x+25

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

expand

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

x^{4} - 4 x^{3} - 6 x^{2} + 20 x + 25

Solution steps

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

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

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

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

Distribute parentheses

= - x^{2} (- x^{2}) - x^{2} \cdot 2 x - x^{2} \cdot 5 + 2 x (- x^{2}) + 2 x \cdot 2 x + 2 x \cdot 5 + 5 (- x^{2}) + 5 \cdot 2 x + 5 \cdot 5

Simplify

- x^{2} (- x^{2}) - x^{2} \cdot 2 x - x^{2} \cdot 5 + 2 x (- x^{2}) + 2 x \cdot 2 x + 2 x \cdot 5 + 5 (- x^{2}) + 5 \cdot 2 x + 5 \cdot 5 : x^{4} - 4 x^{3} - 6 x^{2} + 20 x + 25

= x^{4} - 4 x^{3} - 6 x^{2} + 20 x + 25

x^{\frac{- 2}{3}}

\frac{65}{3}

27 x^{7}

\frac{x ^{2} - 3 x}{x ^{2} - 9}

(2 x + 1) (3 y - 4)

What is expand (-x^2+2x+5)^2 ?
The solution to expand (-x^2+2x+5)^2 is x^4-4x^3-6x^2+20x+25