What is (3x^2-5)(3x^2+5)-x^2(3x-1)^2 ?

The solution to (3x^2-5)(3x^2+5)-x^2(3x-1)^2 is 6x^3-x^2-25

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simplify (3x^2-5)(3x^2+5)-x^2(3x-1)^2

simplify

(3 x^{2} - 5) (3 x^{2} + 5) - x^{2} (3 x - 1)^{2}

6 x^{3} - x^{2} - 25

Solution steps

(3 x^{2} - 5) (3 x^{2} + 5) - x^{2} (3 x - 1)^{2}

Expand

(3 x^{2} - 5) (3 x^{2} + 5) : 9 x^{4} - 25

= 9 x^{4} - 25 - x^{2} (3 x - 1)^{2}

Expand

- x^{2} (3 x - 1)^{2} : - 9 x^{4} + 6 x^{3} - x^{2}

= 9 x^{4} - 25 - 9 x^{4} + 6 x^{3} - x^{2}

Group like terms

= 9 x^{4} - 9 x^{4} + 6 x^{3} - x^{2} - 25

Add similar elements:

9 x^{4} - 9 x^{4} = 0

= 6 x^{3} - x^{2} - 25

\frac{x ^{2}}{2} + x

5 h^{2} - 25

3 \cdot + 9

8 \div 1

- (a - b)^{2}

What is (3x^2-5)(3x^2+5)-x^2(3x-1)^2 ?
The solution to (3x^2-5)(3x^2+5)-x^2(3x-1)^2 is 6x^3-x^2-25