en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (pir+4)^2

Solution

expand

(π r + 4)^{2}

Solution

π^{2} r^{2} + 8 π r + 16

Solution steps

(π r + 4)^{2}

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

a = π r, b = 4

= (π r)^{2} + 2 π r \cdot 4 + 4^{2}

Simplify

(π r)^{2} + 2 π r \cdot 4 + 4^{2} : π^{2} r^{2} + 8 π r + 16

= π^{2} r^{2} + 8 π r + 16

Popular Examples

expand (100)/(x(x^2+100))expand

\frac{100}{x ( x ^{2} + 100 )}

expand 1/(x(2+3x))expand

\frac{1}{x ( 2 + 3 x )}

expand 9/(s(s^2+9))expand

\frac{9}{s ( s ^{2} + 9 )}

expand (3x+2)/((x-3)(x-5))expand

\frac{3 x + 2}{( x - 3 ) ( x - 5 )}

expand dyx^2(6-x/5)expand

d y x^{2} (6 - \frac{x}{5})

Frequently Asked Questions (FAQ)

What is expand (pir+4)^2 ?
The solution to expand (pir+4)^2 is pi^2r^2+8pir+16