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}

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

simplify (2-i)^4 simplify

(2 - i)^{4}

expand (1+cos(x))^2 expand

(1 + cos (x))^{2}

simplify (x-iy)^2 simplify

(x - i y)^{2}

expand (1-sin(x))^2 expand

(1 - sin (x))^{2}

expand 1/((1-x)^2)expand

\frac{1}{( 1 - x ) ^{2}}

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