en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

expand

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

Solution

1 + x^{3} - 2 x^{4} + x^{5}

Solution steps

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

Expand

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

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

Apply the distributive law:

m (a + b + c) = ma + mb + m c

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

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

Simplify

x^{3} \cdot 1 + x^{3} (- 2 x) + x^{3} x^{2} : x^{3} - 2 x^{4} + x^{5}

= 1 + x^{3} - 2 x^{4} + x^{5}

Popular Examples

factor 36x^2-81y^2 factor

36 x^{2} - 81 y^{2}

simplify (sin(a)+cos(a))^2+(sin^2(a)-cos^2(a))simplify

(sin (a) + cos (a))^{2} + (sin^{2} (a) - cos^{2} (a))

factor 64a^4+54a factor

64 a^{4} + 54 a

factor 4x^2+12x+10 factor

4 x^{2} + 12 x + 10

simplify sqrt(((x^{20)))/((4y^2))}simplify

\frac{( x ^{20} )}{( 4 y ^{2} )}

Frequently Asked Questions (FAQ)

What is expand 1+x^3*(1-x)^2 ?
The solution to expand 1+x^3*(1-x)^2 is 1+x^3-2x^4+x^5