en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (2x^2+1)^2

Solution

expand

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

Solution

4 x^{4} + 4 x^{2} + 1

Solution steps

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

Apply Perfect Square Formula:

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

(2 x^{2} + 1)^{2} = (2 x^{2})^{2} + 2 \cdot 2 x^{2} \cdot 1 + 1^{2}

= (2 x^{2})^{2} + 2 \cdot 2 x^{2} \cdot 1 + 1^{2}

Simplify

(2 x^{2})^{2} + 2 \cdot 2 x^{2} \cdot 1 + 1^{2} : 4 x^{4} + 4 x^{2} + 1

= 4 x^{4} + 4 x^{2} + 1

Popular Examples

\frac{54}{4}

simplify 5/35 simplify

\frac{5}{35}

simplify log_{3}(3^6)simplify

lo g_{3} (3^{6})

simplify sqrt(1.1)simplify

1.1

simplify ln(e^{5x})simplify

ln (e^{5 x})

Frequently Asked Questions (FAQ)

What is expand (2x^2+1)^2 ?
The solution to expand (2x^2+1)^2 is 4x^4+4x^2+1