en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (4x-1/(16x))^2

Solution

simplify

(4 x - \frac{1}{16 x})^{2}

Solution

\frac{( 64 x ^{2} - 1 ) ^{2}}{256 x ^{2}}

Solution steps

(4 x - \frac{1}{16 x})^{2}

Join

4 x - \frac{1}{16 x} : \frac{64 x ^{2} - 1}{16 x}

= (\frac{64 x ^{2} - 1}{16 x})^{2}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( 64 x ^{2} - 1 ) ^{2}}{( 16 x ) ^{2}}

Simplify

(16 x)^{2} : 256 x^{2}

= \frac{( 64 x ^{2} - 1 ) ^{2}}{256 x ^{2}}

Popular Examples

factor 4x^3+4x^2-24x factor

4 x^{3} + 4 x^{2} - 24 x

factor 2x^3-x^2-145x-72 factor

2 x^{3} - x^{2} - 145 x - 72

simplify (2-sqrt(7))/(sqrt(7)-4)simplify

\frac{2 - 7}{7 - 4}

simplify ((y^2+y))/(y^2-1)simplify

\frac{( y ^{2} + y )}{y ^{2} - 1}

\frac{5}{6} \div \frac{5}{12}

Frequently Asked Questions (FAQ)

What is (4x-1/(16x))^2 ?
The solution to (4x-1/(16x))^2 is ((64x^2-1)^2)/(256x^2)