What is expand (3+x-x^2)^4 ?

The solution to expand (3+x-x^2)^4 is x^8-4x^7-6x^6+32x^5+19x^4-96x^3-54x^2+108x+81

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (3+x-x^2)^4

expand

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

x^{8} - 4 x^{7} - 6 x^{6} + 32 x^{5} + 19 x^{4} - 96 x^{3} - 54 x^{2} + 108 x + 81

Solution steps

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

Simplify

(3 + x - x^{2})^{4} : (3 + x - x^{2}) (3 + x - x^{2}) (3 + x - x^{2}) (3 + x - x^{2})

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

Expand

(3 + x - x^{2}) (3 + x - x^{2}) : x^{4} - 2 x^{3} - 5 x^{2} + 6 x + 9

= (x^{4} - 2 x^{3} - 5 x^{2} + 6 x + 9) (3 + x - x^{2}) (3 + x - x^{2})

Expand

(x^{4} - 2 x^{3} - 5 x^{2} + 6 x + 9) (3 + x - x^{2}) : - x^{6} + 3 x^{5} + 6 x^{4} - 17 x^{3} - 18 x^{2} + 27 x + 27

= (- x^{6} + 3 x^{5} + 6 x^{4} - 17 x^{3} - 18 x^{2} + 27 x + 27) (3 + x - x^{2})

Distribute parentheses

= - x^{6} \cdot 3 - x^{6} x - x^{6} (- x^{2}) + 3 x^{5} \cdot 3 + 3 x^{5} x + 3 x^{5} (- x^{2}) + 6 x^{4} \cdot 3 + 6 x^{4} x + 6 x^{4} (- x^{2}) - 17 x^{3} \cdot 3 - 17 x^{3} x - 17 x^{3} (- x^{2}) - 18 x^{2} \cdot 3 - 18 x^{2} x - 18 x^{2} (- x^{2}) + 27 x \cdot 3 + 27 xx + 27 x (- x^{2}) + 27 \cdot 3 + 27 x + 27 (- x^{2})

Simplify

- x^{6} \cdot 3 - x^{6} x - x^{6} (- x^{2}) + 3 x^{5} \cdot 3 + 3 x^{5} x + 3 x^{5} (- x^{2}) + 6 x^{4} \cdot 3 + 6 x^{4} x + 6 x^{4} (- x^{2}) - 17 x^{3} \cdot 3 - 17 x^{3} x - 17 x^{3} (- x^{2}) - 18 x^{2} \cdot 3 - 18 x^{2} x - 18 x^{2} (- x^{2}) + 27 x \cdot 3 + 27 xx + 27 x (- x^{2}) + 27 \cdot 3 + 27 x + 27 (- x^{2}) : x^{8} - 4 x^{7} - 6 x^{6} + 32 x^{5} + 19 x^{4} - 96 x^{3} - 54 x^{2} + 108 x + 81

= x^{8} - 4 x^{7} - 6 x^{6} + 32 x^{5} + 19 x^{4} - 96 x^{3} - 54 x^{2} + 108 x + 81

(4^{\frac{m + 1}{4}} \cdot 2 2^{m} 2 2^{- m})^{1} m

a (- 3.7) e b (0.4)

2^{x} + 2^{x} + 3

\frac{( \frac{1}{9} x ) ^{2} - 2}{3 x - 1}

\frac{( 36 x ^{4} + 30 x ^{3} + 36 x ^{2} )}{( 6 x ^{3} )}

What is expand (3+x-x^2)^4 ?
The solution to expand (3+x-x^2)^4 is x^8-4x^7-6x^6+32x^5+19x^4-96x^3-54x^2+108x+81