What is factor 450r^4-81r^8-625 ?

The solution to factor 450r^4-81r^8-625 is -(3r^2+5)^2(3r^2-5)^2

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factor 450r^4-81r^8-625

factor

450 r^{4} - 81 r^{8} - 625

- (3 r^{2} + 5)^{2} (3 r^{2} - 5)^{2}

Solution steps

450 r^{4} - 81 r^{8} - 625

Write in the standard form

= - 81 r^{8} + 450 r^{4} - 625

Factor out

- 1 : - (81 r^{8} - 450 r^{4} + 625)

= - (81 r^{8} - 450 r^{4} + 625)

Factor

81 r^{8} - 450 r^{4} + 625 : (3 r^{2} + 5) (3 r^{2} - 5) (3 r^{2} + 5) (3 r^{2} - 5)

= - (3 r^{2} + 5) (3 r^{2} - 5) (3 r^{2} + 5) (3 r^{2} - 5)

Simplify

= - (3 r^{2} + 5)^{2} (3 r^{2} - 5)^{2}

5 ∣ 12 - 4 ∣

2 (10 - 3)

9 z^{2} - 30 z + 25

(- 3 + 6 i) (- 3 - 6 i)

- \frac{1}{4} \div \frac{10}{9}

What is factor 450r^4-81r^8-625 ?
The solution to factor 450r^4-81r^8-625 is -(3r^2+5)^2(3r^2-5)^2