What is factor 25x^2-60x+36 ?

The solution to factor 25x^2-60x+36 is (5x-6)^2

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factor 25x^2-60x+36

factor

25 x^{2} - 60 x + 36

(5 x - 6)^{2}

Solution steps

25 x^{2} - 60 x + 36

Rewrite in the form of

a^{2} + 2 ab + b^{2} :

25 x^{2} = (5 x)^{2}

36 = 6^{2}

- 60 x = - 2 \cdot 5 x \cdot 6

= (5 x)^{2} - 2 \cdot 5 x \cdot 6 + 6^{2}

Apply Perfect Square Formula:

a^{2} - 2 ab + b^{2} = (a - b)^{2}

(5 x)^{2} - 2 \cdot 5 x \cdot 6 + 6^{2} = (5 x - 6)^{2}

= (5 x - 6)^{2}

- 10 (- 3 d + 2) = 730

(1.5 x)^{2}

lo g_{10} (20) + lo g_{10} (5)

9 x^{2} + 27 x + 20

4 x^{2} - 10 x