What is factor 9x^2-30x+25 ?

The solution to factor 9x^2-30x+25 is (3x-5)^2

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factor 9x^2-30x+25

factor

9 x^{2} - 30 x + 25

(3 x - 5)^{2}

Solution steps

9 x^{2} - 30 x + 25

Rewrite in the form of

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

9 x^{2} = (3 x)^{2}

25 = 5^{2}

- 30 x = - 2 \cdot 3 x \cdot 5

= (3 x)^{2} - 2 \cdot 3 x \cdot 5 + 5^{2}

Apply Perfect Square Formula:

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

(3 x)^{2} - 2 \cdot 3 x \cdot 5 + 5^{2} = (3 x - 5)^{2}

= (3 x - 5)^{2}

2 (2 a + 3) = - 3 (a - 1) + 31

1 - 2 [1 + 3 x - 2 (x + 2) + 3 x] = - 1

(4^{3})^{\frac{1}{2}}

7.4 \cdot (\frac{1.48 + 1.13}{6})

t (t - 1) = 0