What is expand ((3x^2-10y^4)^2)/(16) ?

The solution to expand ((3x^2-10y^4)^2)/(16) is (9x^4}{16}-\frac{15x^2y^4)/4+(25y^8)/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand ((3x^2-10y^4)^2)/(16)

expand

\frac{( 3 x ^{2} - 10 y ^{4} ) ^{2}}{16}

\frac{9 x ^{4}}{16} - \frac{15 x ^{2} y ^{4}}{4} + \frac{25 y ^{8}}{4}

Solution steps

\frac{( 3 x ^{2} - 10 y ^{4} ) ^{2}}{16}

(3 x^{2} - 10 y^{4})^{2} = 9 x^{4} - 60 x^{2} y^{4} + 100 y^{8}

= \frac{9 x ^{4} - 60 x ^{2} y ^{4} + 100 y ^{8}}{16}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{9 x ^{4} - 60 x ^{2} y ^{4} + 100 y ^{8}}{16} = \frac{9 x ^{4}}{16} - \frac{60 x ^{2} y ^{4}}{16} + \frac{100 y ^{8}}{16}

= \frac{9 x ^{4}}{16} - \frac{60 x ^{2} y ^{4}}{16} + \frac{100 y ^{8}}{16}

Cancel

\frac{60 x ^{2} y ^{4}}{16} : \frac{15 x ^{2} y ^{4}}{4}

= \frac{9 x ^{4}}{16} - \frac{15 x ^{2} y ^{4}}{4} + \frac{100 y ^{8}}{16}

Cancel

\frac{100 y ^{8}}{16} : \frac{25 y ^{8}}{4}

= \frac{9 x ^{4}}{16} - \frac{15 x ^{2} y ^{4}}{4} + \frac{25 y ^{8}}{4}

(x + c)^{2} + y^{2} + 4 a^{2}

\frac{6 x ^{2} - 24 x - 16}{( x - 2 ) ^{2}}

- \frac{2 ( - 3 x ^{2} + 1 )}{( x ^{2} + 1 ) ^{3}}

e^{t} (t^{2} + 2 t - 1)

(1 - cos (x)) 2

What is expand ((3x^2-10y^4)^2)/(16) ?
The solution to expand ((3x^2-10y^4)^2)/(16) is (9x^4}{16}-\frac{15x^2y^4)/4+(25y^8)/4