What is factor 36+4x^2+1/9 x^4 ?

The solution to factor 36+4x^2+1/9 x^4 is ((x^2)/3+6)^2

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factor 36+4x^2+1/9 x^4

factor

36 + 4 x^{2} + \frac{1}{9} x^{4}

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

Solution steps

36 + 4 x^{2} + \frac{1}{9} x^{4}

Write in the standard form

= \frac{x ^{4}}{9} + 4 x^{2} + 36

Let

u = x^{2}

= \frac{u ^{2}}{9} + 4 u + 36

Factor

\frac{u ^{2}}{9} + 4 u + 36 : (\frac{u}{3} + 6)^{2}

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

Substitute back

u = x^{2}

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

p^{2} + 4 p - 12 = 0

y (2 + y) - y - 2

(\frac{0.03}{1})^{\frac{1}{2}} \cdot 0.5 \cdot 109

\frac{x + 5}{x - 7} \leq 1

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

What is factor 36+4x^2+1/9 x^4 ?
The solution to factor 36+4x^2+1/9 x^4 is ((x^2)/3+6)^2