What is (sqrt(5)y^2-sqrt(10)z^2)^2 ?

The solution to (sqrt(5)y^2-sqrt(10)z^2)^2 is 5y^4-10sqrt(2)y^2z^2+10z^4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (sqrt(5)y^2-sqrt(10)z^2)^2

simplify

(5 y^{2} - 10 z^{2})^{2}

5 y^{4} - 102 y^{2} z^{2} + 10 z^{4}

Solution steps

(5 y^{2} - 10 z^{2})^{2}

Apply Perfect Square Formula:

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

(5 y^{2} - 10 z^{2})^{2} = (5 y^{2})^{2} - 25 y^{2} 10 z^{2} + (10 z^{2})^{2}

= (5 y^{2})^{2} - 25 y^{2} 10 z^{2} + (10 z^{2})^{2}

Simplify

(5 y^{2})^{2} - 25 y^{2} 10 z^{2} + (10 z^{2})^{2} : 5 y^{4} - 102 y^{2} z^{2} + 10 z^{4}

= 5 y^{4} - 102 y^{2} z^{2} + 10 z^{4}

\frac{1}{( s + 2 ) ^{2}}

(1 + x)^{4}

- \frac{7 x - 15}{( x - 1 ) ^{2}}

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

lo g_{10} (\frac{3 x}{4 x ^{2} - 9})

What is (sqrt(5)y^2-sqrt(10)z^2)^2 ?
The solution to (sqrt(5)y^2-sqrt(10)z^2)^2 is 5y^4-10sqrt(2)y^2z^2+10z^4