What is expand (x^2+2x-1)^3(5x) ?

The solution to expand (x^2+2x-1)^3(5x) is 5x^7+30x^6+45x^5-20x^4-45x^3+30x^2-5x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (x^2+2x-1)^3(5x)

expand

(x^{2} + 2 x - 1)^{3} (5 x)

5 x^{7} + 30 x^{6} + 45 x^{5} - 20 x^{4} - 45 x^{3} + 30 x^{2} - 5 x

Solution steps

(x^{2} + 2 x - 1)^{3} (5 x)

Remove parentheses:

(a) = a

= (x^{2} + 2 x - 1)^{3} \cdot 5 x

(x^{2} + 2 x - 1)^{3} = x^{6} + 6 x^{5} + 9 x^{4} - 4 x^{3} - 9 x^{2} + 6 x - 1

= 5 x (x^{6} + 6 x^{5} + 9 x^{4} - 4 x^{3} - 9 x^{2} + 6 x - 1)

= 5 x (x^{6} + 6 x^{5} + 9 x^{4} - 4 x^{3} - 9 x^{2} + 6 x - 1)

Distribute parentheses

= 5 x x^{6} + 5 x \cdot 6 x^{5} + 5 x \cdot 9 x^{4} + 5 x (- 4 x^{3}) + 5 x (- 9 x^{2}) + 5 x \cdot 6 x + 5 x (- 1)

Apply minus-plus rules

+ (- a) = - a

= 5 x^{6} x + 5 \cdot 6 x^{5} x + 5 \cdot 9 x^{4} x - 5 \cdot 4 x^{3} x - 5 \cdot 9 x^{2} x + 5 \cdot 6 xx - 5 \cdot 1 \cdot x

Simplify

5 x^{6} x + 5 \cdot 6 x^{5} x + 5 \cdot 9 x^{4} x - 5 \cdot 4 x^{3} x - 5 \cdot 9 x^{2} x + 5 \cdot 6 xx - 5 \cdot 1 \cdot x : 5 x^{7} + 30 x^{6} + 45 x^{5} - 20 x^{4} - 45 x^{3} + 30 x^{2} - 5 x

= 5 x^{7} + 30 x^{6} + 45 x^{5} - 20 x^{4} - 45 x^{3} + 30 x^{2} - 5 x

(y e^{- x} - sin (x)) d x - (e^{- x} + 2 y) d y

\frac{s ^{3} - 2 s ^{2} + 5}{( s - 1 ) ( s + 1 ) ( s ^{2} - 2 s )}

(2 x - 1) ln (5)

\frac{4}{1.3} (e^{0, 8 x} - e^{- 0.5 x}) + 2 e^{- 0.5 x}

(x^{2} + 6) 1 - x

What is expand (x^2+2x-1)^3(5x) ?
The solution to expand (x^2+2x-1)^3(5x) is 5x^7+30x^6+45x^5-20x^4-45x^3+30x^2-5x