What is expand (x+1/6 x^3)^2 ?

The solution to expand (x+1/6 x^3)^2 is (36x^2+12x^4+x^6)/(36)

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expand (x+1/6 x^3)^2

expand

(x + \frac{1}{6} x^{3})^{2}

\frac{36 x ^{2} + 12 x ^{4} + x ^{6}}{36}

Solution steps

(x + \frac{1}{6} x^{3})^{2}

Apply Perfect Square Formula:

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

(x + \frac{1}{6} x^{3})^{2} = x^{2} + 2 x \frac{1}{6} x^{3} + (\frac{1}{6} x^{3})^{2}

= x^{2} + 2 x \frac{1}{6} x^{3} + (\frac{1}{6} x^{3})^{2}

Simplify

x^{2} + 2 x \frac{1}{6} x^{3} + (\frac{1}{6} x^{3})^{2} : \frac{36 x ^{2} + 12 x ^{4} + x ^{6}}{36}

= \frac{36 x ^{2} + 12 x ^{4} + x ^{6}}{36}

(2 x - y)^{2}

(se x (x + y) - cos (x) sin (y)) \cdot sec (y)

(x + \frac{1}{9}) (x - 6)

h (m^{2} + 7) (m, co n s tan (t))

\frac{( x ^{6} - 5 x ^{4} + 6 x ^{2} - 1 ) ^{2}}{x ^{5} - 4 x ^{3} + 3 x}

What is expand (x+1/6 x^3)^2 ?
The solution to expand (x+1/6 x^3)^2 is (36x^2+12x^4+x^6)/(36)