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Popular >

simplify 3(1/3 x^2-9)^2+9

Solution

simplify

3 (\frac{1}{3} x^{2} - 9)^{2} + 9

Solution

\frac{x ^{4}}{3} - 18 x^{2} + 252

Solution steps

3 (\frac{1}{3} x^{2} - 9)^{2} + 9

(\frac{1}{3} x^{2} - 9)^{2} = (\frac{x ^{2}}{3} - 9)^{2}

= 3 (\frac{x ^{2}}{3} - 9)^{2} + 9

(\frac{x ^{2}}{3} - 9)^{2} : \frac{x ^{4}}{9} - 6 x^{2} + 81

= 3 (\frac{x ^{4}}{9} - 6 x^{2} + 81) + 9

Expand

3 (\frac{x ^{4}}{9} - 6 x^{2} + 81) : \frac{x ^{4}}{3} - 18 x^{2} + 243

= \frac{x ^{4}}{3} - 18 x^{2} + 243 + 9

Add the numbers:

243 + 9 = 252

= \frac{x ^{4}}{3} - 18 x^{2} + 252

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Frequently Asked Questions (FAQ)

What is 3(1/3 x^2-9)^2+9 ?
The solution to 3(1/3 x^2-9)^2+9 is (x^4)/3-18x^2+252