What is 100x^2-(x^2+25)^2 ?

The solution to 100x^2-(x^2+25)^2 is -x^4+50x^2-625

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simplify 100x^2-(x^2+25)^2

simplify

100 x^{2} - (x^{2} + 25)^{2}

- x^{4} + 50 x^{2} - 625

Solution steps

100 x^{2} - (x^{2} + 25)^{2}

Expand

- (x^{2} + 25)^{2} : - x^{4} - 50 x^{2} - 625

= 100 x^{2} - x^{4} - 50 x^{2} - 625

Group like terms

= - x^{4} + 100 x^{2} - 50 x^{2} - 625

Add similar elements:

100 x^{2} - 50 x^{2} = 50 x^{2}

= - x^{4} + 50 x^{2} - 625

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