en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (4x^2-1)^2

Solution

expand

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

Solution

16 x^{4} - 8 x^{2} + 1

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

(4 x^{2})^{2} - 2 \cdot 4 x^{2} \cdot 1 + 1^{2} : 16 x^{4} - 8 x^{2} + 1

= 16 x^{4} - 8 x^{2} + 1

Popular Examples

simplify (144p^2q^6)^{1/2}simplify

(144 p^{2} q^{6})^{\frac{1}{2}}

simplify 3sqrt(96)simplify

396

expand (2m^2-5n)^2 expand

(2 m^{2} - 5 n)^{2}

simplify 4-5/x simplify

4 - \frac{5}{x}

3/8 \div (-1)/2

\frac{3}{8} \div \frac{- 1}{2}

Frequently Asked Questions (FAQ)

What is expand (4x^2-1)^2 ?
The solution to expand (4x^2-1)^2 is 16x^4-8x^2+1