en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (2x^2-4)^2

Solution

expand

(2 x^{2} - 4)^{2}

Solution

4 x^{4} - 16 x^{2} + 16

Solution steps

(2 x^{2} - 4)^{2}

Apply Perfect Square Formula:

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

(2 x^{2} - 4)^{2} = (2 x^{2})^{2} - 2 \cdot 2 x^{2} \cdot 4 + 4^{2}

= (2 x^{2})^{2} - 2 \cdot 2 x^{2} \cdot 4 + 4^{2}

Simplify

(2 x^{2})^{2} - 2 \cdot 2 x^{2} \cdot 4 + 4^{2} : 4 x^{4} - 16 x^{2} + 16

= 4 x^{4} - 16 x^{2} + 16

Popular Examples

simplify (625)^{3/4}simplify

(625)^{\frac{3}{4}}

simplify log_{b}(sqrt(xy))simplify

lo g_{b} (x y)

\frac{80}{7}

simplify 2(q-3)simplify

2 (q - 3)

simplify 2(1-3x)+4x-5 simplify

2 (1 - 3 x) + 4 x - 5

Frequently Asked Questions (FAQ)

What is expand (2x^2-4)^2 ?
The solution to expand (2x^2-4)^2 is 4x^4-16x^2+16