What is factor 100f^2-180ff+81 ?

The solution to factor 100f^2-180ff+81 is -(4sqrt(5)f+9)(4sqrt(5)f-9)

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factor 100f^2-180ff+81

factor

100 f^{2} - 180 ff + 81

- (45 f + 9) (45 f - 9)

Solution steps

100 f^{2} - 180 ff + 81

180 ff = 180 f^{2}

= 100 f^{2} - 180 f^{2} + 81

Add similar elements:

100 f^{2} - 180 f^{2} = - 80 f^{2}

= - 80 f^{2} + 81

Factor out common term

- 1

= - (80 f^{2} - 81)

Factor

80 f^{2} - 81 : (80 f + 9) (80 f - 9)

= - (80 f + 9) (80 f - 9)

Refine

= - (45 f + 9) (45 f - 9)

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What is factor 100f^2-180ff+81 ?
The solution to factor 100f^2-180ff+81 is -(4sqrt(5)f+9)(4sqrt(5)f-9)