What is factor x^4-(3x-2)^2 ?

The solution to factor x^4-(3x-2)^2 is (x^2+3x-2)(x-1)(x-2)

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factor x^4-(3x-2)^2

factor

x^{4} - (3 x - 2)^{2}

(x^{2} + 3 x - 2) (x - 1) (x - 2)

Solution steps

x^{4} - (3 x - 2)^{2}

Simplify

x^{4} : (x^{2})^{2}

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

Apply Difference of Two Squares Formula:

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

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

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

Simplify

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

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

Factor

x^{2} - 3 x + 2 : (x - 1) (x - 2)

= (x^{2} + 3 x - 2) (x - 1) (x - 2)

x^{3} + 3 x^{2} + 16 x - 20

(7 x + 5) (2 x - 6) = 0

8 x^{2} + 1 = 6 x^{2}

- (x - 8) + 4 x = 2

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What is factor x^4-(3x-2)^2 ?
The solution to factor x^4-(3x-2)^2 is (x^2+3x-2)(x-1)(x-2)