What is factor 4x^3-6x^{2-28x} ?

The solution to factor 4x^3-6x^{2-28x} is 2x^2(2x-3*1/(x^{28x)})

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factor 4x^3-6x^{2-28x}

factor

4 x^{3} - 6 x^{2 - 28 x}

2 x^{2} (2 x - 3 \cdot \frac{1}{x ^{28 x}})

Solution steps

4 x^{3} - 6 x^{2 - 28 x}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

x^{2 - 28 x} = x^{2} x^{- 28 x}

= 4 x^{3} - 6 x^{2} x^{- 28 x}

Factor out common term

2 x^{2} : 2 x^{2} (2 x - 3 x^{- 28 x})

= 2 x^{2} (2 x - 3 x^{- 28 x})

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

x^{- 28 x} = \frac{1}{x ^{28 x}}

= 2 x^{2} (2 x - 3 \cdot \frac{1}{x ^{28 x}})

6 r \cdot 5 r^{2}

x^{2} - 37 x + 322 = 0

- (2)^{2} - 2 (2) - 4

0 = 3 x^{2} - 6 x - 5

2 x = - 5

What is factor 4x^3-6x^{2-28x} ?
The solution to factor 4x^3-6x^{2-28x} is 2x^2(2x-3*1/(x^{28x)})