en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (x+(Δx))^2

Solution

expand

(x + (Δ x))^{2}

Solution

x^{2} + 2Δ x^{2} + Δ^{2} x^{2}

Solution steps

(x + (Δ x))^{2}

Remove parentheses:

(a) = a

= (x + Δ x)^{2}

Apply Perfect Square Formula:

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

a = x, b = Δ x

= x^{2} + 2 x Δ x + (Δ x)^{2}

Simplify

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

= x^{2} + 2Δ x^{2} + Δ^{2} x^{2}

Popular Examples

expand (d^2+e)(d^2-e)expand

(d^{2} + e) (d^{2} - e)

simplify (2t)/((t+0.5)^2)+0.5 simplify

\frac{2 t}{( t + 0.5 ) ^{2}} + 0.5

expand xdy+(y-4x^2)dx expand

x d y + (y - 4 x^{2}) d x

expand (x+1)/((x-1)(x-6))expand

\frac{x + 1}{( x - 1 ) ( x - 6 )}

expand Ae^{2x}(2x)+B(e^{2x}+2e^{2x}x)expand

A e^{2 x} (2 x) + B (e^{2 x} + 2 e^{2 x} x)

Frequently Asked Questions (FAQ)

What is expand (x+(Δx))^2 ?
The solution to expand (x+(Δx))^2 is x^2+2Δx^2+Δ^2x^2