en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand x^32x+2(2x)^2-x^3x^2-2(x^2)^2

Solution

expand

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

Solution

- x^{5} + 8 x^{2}

Solution steps

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

x^{3} \cdot 2 x = 2 x^{4}

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

x^{3} x^{2} = x^{5}

2 (x^{2})^{2} = 2 x^{4}

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

Group like terms

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

Add similar elements:

2 x^{4} - 2 x^{4} = 0

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

2^{3} = 8

= - x^{5} + 8 x^{2}

Popular Examples

expand arcsin(1/(1.33))expand

arcsin (\frac{1}{1.33})

expand 1/(4a(a-b))expand

\frac{1}{4 a ( a - b )}

expand 10(1/2 x+2/5 y=4)expand

10 (\frac{1}{2} x + \frac{2}{5} y = 4)

expand (8(2p+q))/(p-q)expand

\frac{8 ( 2 p + q )}{p - q}

d/(dt)((x)(2te^{-5t}-(t+13)/(t^2+t-6)))

\frac{d}{d t} ((x) (2 t e^{- 5 t} - \frac{t + 13}{t ^{2} + t - 6}))

Frequently Asked Questions (FAQ)

What is expand x^3*2x+2(2x)^2-x^3*x^2-2(x^2)^2 ?
The solution to expand x^3*2x+2(2x)^2-x^3*x^2-2(x^2)^2 is -x^5+8x^2