What is factor (x^2-3)^2-(x-9)^2 ?

The solution to factor (x^2-3)^2-(x-9)^2 is (x-3)(x+4)(x^2-x+6)

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factor (x^2-3)^2-(x-9)^2

factor

(x^{2} - 3)^{2} - (x - 9)^{2}

(x - 3) (x + 4) (x^{2} - x + 6)

Solution steps

(x^{2} - 3)^{2} - (x - 9)^{2}

Apply Difference of Two Squares Formula:

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

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

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

Simplify

((x^{2} - 3) + (x - 9)) ((x^{2} - 3) - (x - 9)) : (x^{2} - 12 + x) (x^{2} - x + 6)

= (x^{2} - 12 + x) (x^{2} - x + 6)

= (x^{2} + x - 12) (x^{2} - x + 6)

Factor

x^{2} + x - 12 : (x - 3) (x + 4)

= (x - 3) (x + 4) (x^{2} - x + 6)

16 b^{2} - 81

(- 4 x^{2} + 6 x + 1) + (5 x + 7)

(- z)^{3} (3 z^{4})

- 3 (7 f + 3 f + 9) - 4 f

What is factor (x^2-3)^2-(x-9)^2 ?
The solution to factor (x^2-3)^2-(x-9)^2 is (x-3)(x+4)(x^2-x+6)