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

The solution to (x^2-3)^2-(x-9)^2 is x^4-7x^2+18x-72

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

simplify

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

x^{4} - 7 x^{2} + 18 x - 72

Solution steps

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

Expand

(x^{2} - 3)^{2} : x^{4} - 6 x^{2} + 9

= x^{4} - 6 x^{2} + 9 - (x - 9)^{2}

Expand

- (x - 9)^{2} : - x^{2} + 18 x - 81

= x^{4} - 6 x^{2} + 9 - x^{2} + 18 x - 81

Group like terms

= x^{4} - 6 x^{2} - x^{2} + 18 x + 9 - 81

Add similar elements:

- 6 x^{2} - x^{2} = - 7 x^{2}

= x^{4} - 7 x^{2} + 18 x + 9 - 81

Subtract the numbers:

9 - 81 = - 72

= x^{4} - 7 x^{2} + 18 x - 72

3 (- 2 a + 8 b) - (9 b - a)

- 22.8 + 0.6 (2 x + 23)

(4 x + 2) (2 x + 3)

318 + 550

25 + 45 x

What is (x^2-3)^2-(x-9)^2 ?
The solution to (x^2-3)^2-(x-9)^2 is x^4-7x^2+18x-72