What is factor-90x+225x^2+9 ?

The solution to factor-90x+225x^2+9 is 9(5x-1)^2

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factor-90x+225x^2+9

factor

- 90 x + 225 x^{2} + 9

9 (5 x - 1)^{2}

Solution steps

- 90 x + 225 x^{2} + 9

Write in the standard form

= 225 x^{2} - 90 x + 9

Factor out common term

9 : 9 (25 x^{2} - 10 x + 1)

= 9 (25 x^{2} - 10 x + 1)

Factor

25 x^{2} - 10 x + 1 : (5 x - 1) (5 x - 1)

= 9 (5 x - 1) (5 x - 1)

Apply exponent rule:

aa = a^{2}

(5 x - 1) (5 x - 1) = (5 x - 1)^{2}

= 9 (5 x - 1)^{2}

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