en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (v+Δv)^2

Solution

expand

(v + Δ v)^{2}

Solution

v^{2} + 2Δ v^{2} + Δ^{2} v^{2}

Solution steps

(v + Δ v)^{2}

Apply Perfect Square Formula:

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

a = v, b = Δ v

= v^{2} + 2 v Δ v + (Δ v)^{2}

Simplify

v^{2} + 2 v Δ v + (Δ v)^{2} : v^{2} + 2Δ v^{2} + Δ^{2} v^{2}

= v^{2} + 2Δ v^{2} + Δ^{2} v^{2}

Popular Examples

simplify 8(1+sqrt(7))+(8-16sqrt(7))/9 simplify

8 (1 + 7) + \frac{8 - 16 7}{9}

expand \sqrt[3]{x+2}+\sqrt[3]{(x+2)^2}expand

expand (k^2-9/2)^2 expand

(k^{2} - \frac{9}{2})^{2}

expand (ax+y+sqrt((ax+y)^2+z^2))/z expand

\frac{a x + y + ( a x + y ) ^{2} + z ^{2}}{z}

expand ,(sqrt(3)-9)(sqrt(3)-5)expand

, (3 - 9) (3 - 5)

Frequently Asked Questions (FAQ)

What is expand (v+Δv)^2 ?
The solution to expand (v+Δv)^2 is v^2+2Δv^2+Δ^2v^2