What is factor 36a^4-108a^2c+81c^2 ?

The solution to factor 36a^4-108a^2c+81c^2 is 9(2a^2-3c)^2

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factor 36a^4-108a^2c+81c^2

factor

36 a^{4} - 108 a^{2} c + 81 c^{2}

9 (2 a^{2} - 3 c)^{2}

Solution steps

36 a^{4} - 108 a^{2} c + 81 c^{2}

Factor out common term

9 : 9 (4 a^{4} - 12 a^{2} c + 9 c^{2})

= 9 (4 a^{4} - 12 a^{2} c + 9 c^{2})

Factor

4 a^{4} - 12 a^{2} c + 9 c^{2} : (2 a^{2} - 3 c) (2 a^{2} - 3 c)

= 9 (2 a^{2} - 3 c) (2 a^{2} - 3 c)

Apply exponent rule:

aa = a^{2}

(2 a^{2} - 3 c) (2 a^{2} - 3 c) = (2 a^{2} - 3 c)^{2}

= 9 (2 a^{2} - 3 c)^{2}

\frac{1}{x - 2} \geq \frac{6}{x ^{2} + 2 x - 8}

\frac{\frac{1}{3}}{\frac{2 2}{3}}

7.39 - 4.21 a > 3.65

4 (x - 4) (x + 5) < 0

a^{2} + ab + a x + b x

What is factor 36a^4-108a^2c+81c^2 ?
The solution to factor 36a^4-108a^2c+81c^2 is 9(2a^2-3c)^2