What is (sqrt(7-3y^2)y+y^2)^2 ?

The solution to (sqrt(7-3y^2)y+y^2)^2 is -2y^4+7y^2+2y^3sqrt(7-3y^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (sqrt(7-3y^2)y+y^2)^2

simplify

(7 - 3 y^{2} y + y^{2})^{2}

- 2 y^{4} + 7 y^{2} + 2 y^{3} 7 - 3 y^{2}

Solution steps

(7 - 3 y^{2} y + y^{2})^{2}

Apply Perfect Square Formula:

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

(7 - 3 y^{2} y + y^{2})^{2} = (7 - 3 y^{2} y)^{2} + 2 7 - 3 y^{2} y y^{2} + (y^{2})^{2}

= (7 - 3 y^{2} y)^{2} + 2 7 - 3 y^{2} y y^{2} + (y^{2})^{2}

Simplify

(7 - 3 y^{2} y)^{2} + 2 7 - 3 y^{2} y y^{2} + (y^{2})^{2} : - 2 y^{4} + 7 y^{2} + 2 y^{3} 7 - 3 y^{2}

= - 2 y^{4} + 7 y^{2} + 2 y^{3} 7 - 3 y^{2}

\frac{1}{2} x^{\frac{1}{2}} - \frac{1}{2 x ^{\frac{1}{2}}}

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

\frac{( 7 m ^{4} + n ) ^{3}}{343}

(- 8 - 9 i)^{6}

What is (sqrt(7-3y^2)y+y^2)^2 ?
The solution to (sqrt(7-3y^2)y+y^2)^2 is -2y^4+7y^2+2y^3sqrt(7-3y^2)