What is factor (3^x)^2+3^x-6 ?

The solution to factor (3^x)^2+3^x-6 is (3^x-2)(3^x+3)

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factor (3^x)^2+3^x-6

factor

(3^{x})^{2} + 3^{x} - 6

(3^{x} - 2) (3^{x} + 3)

Solution steps

(3^{x})^{2} + 3^{x} - 6

Break the expression into groups

= ((3^{x})^{2} - 2 3^{x}) + (3 3^{x} - 6)

Factor out

3^{x}

from

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

Factor out

3

from

3 3^{x} - 6 : 3 (3^{x} - 2)

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

Factor out common term

3^{x} - 2

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

a^{6} b^{6} - 1000 x^{3}

(m^{2} - n^{2}) + 2 mn

arctan (x) (2 x)

in t (6 x^{2})

48 d^{2} e - 32 d

What is factor (3^x)^2+3^x-6 ?
The solution to factor (3^x)^2+3^x-6 is (3^x-2)(3^x+3)