en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

expand

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

Solution

x^{5} + 4 x^{4} + 10 x^{3} + 12 x^{2} + 9 x

Solution steps

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

(x^{2} + 2 x + 3)^{2} = x^{4} + 4 x^{3} + 10 x^{2} + 12 x + 9

= x (x^{4} + 4 x^{3} + 10 x^{2} + 12 x + 9)

Distribute parentheses

= x x^{4} + x \cdot 4 x^{3} + x \cdot 10 x^{2} + x \cdot 12 x + x \cdot 9

= x^{4} x + 4 x^{3} x + 10 x^{2} x + 12 xx + 9 x

Simplify

x^{4} x + 4 x^{3} x + 10 x^{2} x + 12 xx + 9 x : x^{5} + 4 x^{4} + 10 x^{3} + 12 x^{2} + 9 x

= x^{5} + 4 x^{4} + 10 x^{3} + 12 x^{2} + 9 x

Popular Examples

expand (3ydx+6dx-xdy=0) 1/(ydx)expand

(3 y d x + 6 d x - x d y = 0) \frac{1}{y d x}

expand 4/((4-x)^2)expand

\frac{4}{( 4 - x ) ^{2}}

expand C(-2,-5)P(-4,5)expand

C (- 2, - 5) P (- 4, 5)

expand (3x+15)/((x+6)(x+3))expand

\frac{3 x + 15}{( x + 6 ) ( x + 3 )}

expand 5/((3+x^2)^{10)}expand

\frac{5}{( 3 + x ^{2} ) ^{10}}

Frequently Asked Questions (FAQ)

What is expand x(x^2+2x+3)^2 ?
The solution to expand x(x^2+2x+3)^2 is x^5+4x^4+10x^3+12x^2+9x