What is expand (2x+x^3)^2sqrt(2+x^2) ?

The solution to expand (2x+x^3)^2sqrt(2+x^2) is 4x^2sqrt(2+x^2)+4x^4sqrt(2+x^2)+x^6sqrt(2+x^2)

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expand (2x+x^3)^2sqrt(2+x^2)

expand

(2 x + x^{3})^{2} 2 + x^{2}

4 x^{2} 2 + x^{2} + 4 x^{4} 2 + x^{2} + x^{6} 2 + x^{2}

Solution steps

(2 x + x^{3})^{2} 2 + x^{2}

Expand

(2 x + x^{3})^{2} : 4 x^{2} + 4 x^{4} + x^{6}

= (4 x^{2} + 4 x^{4} + x^{6}) 2 + x^{2}

= 2 + x^{2} (4 x^{2} + 4 x^{4} + x^{6})

Apply the distributive law:

m (a + b + c) = ma + mb + m c

2 + x^{2} (4 x^{2} + 4 x^{4} + x^{6}) = 2 + x^{2} \cdot 4 x^{2} + 2 + x^{2} \cdot 4 x^{4} + 2 + x^{2} x^{6}

= 2 + x^{2} \cdot 4 x^{2} + 2 + x^{2} \cdot 4 x^{4} + 2 + x^{2} x^{6}

= 4 x^{2} 2 + x^{2} + 4 x^{4} 2 + x^{2} + x^{6} 2 + x^{2}

\frac{( 12 x + 33 )}{( ( x - 1 ) ( 2 x + 3 ) )}

sin (\frac{7 π}{12})

(1 + x 3)^{2}

(2 m^{\frac{1}{2}} - m n^{\frac{5}{7}})^{3}

\frac{p ( x )}{( 7 x + 11 ) ^{2}}

What is expand (2x+x^3)^2sqrt(2+x^2) ?
The solution to expand (2x+x^3)^2sqrt(2+x^2) is 4x^2sqrt(2+x^2)+4x^4sqrt(2+x^2)+x^6sqrt(2+x^2)