What is 6(2x-1)^2-2x*cos(x^2)-(7/3)^{4/3} ?

The solution to 6(2x-1)^2-2x*cos(x^2)-(7/3)^{4/3} is 24x^2-24x+6-2xcos(x^2)-(7*7^{1/3})/(3*3^{1/3)}

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simplify 6(2x-1)^2-2x*cos(x^2)-(7/3)^{4/3}

simplify

6 (2 x - 1)^{2} - 2 x \cdot cos (x^{2}) - (\frac{7}{3})^{\frac{4}{3}}

24 x^{2} - 24 x + 6 - 2 x cos (x^{2}) - \frac{7 \cdot 7 ^{\frac{1}{3}}}{3 \cdot 3 ^{\frac{1}{3}}}

Solution steps

6 (2 x - 1)^{2} - 2 x cos (x^{2}) - (\frac{7}{3})^{\frac{4}{3}}

(\frac{7}{3})^{\frac{4}{3}} = \frac{7 \cdot 7 ^{\frac{1}{3}}}{3 \cdot 3 ^{\frac{1}{3}}}

= 6 (2 x - 1)^{2} - 2 x cos (x^{2}) - \frac{7 \cdot 7 ^{\frac{1}{3}}}{3 \cdot 3 ^{\frac{1}{3}}}

Expand

6 (2 x - 1)^{2} : 24 x^{2} - 24 x + 6

= 24 x^{2} - 24 x + 6 - 2 x cos (x^{2}) - \frac{7 \cdot 7 ^{\frac{1}{3}}}{3 \cdot 3 ^{\frac{1}{3}}}

(\frac{s}{2} + 1) (\frac{s}{8} + 1)

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

\frac{e ^{- 2 (s + 1)}}{s + 1} + \frac{3 e ^{- 2 s}}{s}

2 + 3

(y - 3)^{2}

What is 6(2x-1)^2-2x*cos(x^2)-(7/3)^{4/3} ?
The solution to 6(2x-1)^2-2x*cos(x^2)-(7/3)^{4/3} is 24x^2-24x+6-2xcos(x^2)-(7*7^{1/3})/(3*3^{1/3)}