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

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

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factor 25x^2+30x+9

factor

25 x^{2} + 30 x + 9

(5 x + 3)^{2}

Solution steps

25 x^{2} + 30 x + 9

Rewrite in the form of

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

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

9 = 3^{2}

30 x = 2 \cdot 5 x \cdot 3

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

Apply Perfect Square Formula:

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

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

= (5 x + 3)^{2}

- 50

8 y - 2 y + 4 = 22

5 z^{2} + 39 z + 28

- 3 (2 x + 1) > - 2 (x + 6)

lo g_{3} (9)