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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 9z^2+30z+25

factor

9 z^{2} + 30 z + 25

(3 z + 5)^{2}

Solution steps

9 z^{2} + 30 z + 25

Rewrite in the form of

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

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

25 = 5^{2}

30 z = 2 \cdot 3 z \cdot 5

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

Apply Perfect Square Formula:

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

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

= (3 z + 5)^{2}

12 x^{2} - 48 x + 36

4 (9 - w) - 20 = 20 - 2 w

6 x^{3} - 5 x^{2} y - 24 x y^{2} + 20 y^{3}

(x + 2) (x - 5) = 0

1 + 3