What is factor 4y^2-36y+81 ?

The solution to factor 4y^2-36y+81 is (2y-9)^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 4y^2-36y+81

factor

4 y^{2} - 36 y + 81

(2 y - 9)^{2}

Solution steps

4 y^{2} - 36 y + 81

Rewrite in the form of

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

4 y^{2} = (2 y)^{2}

81 = 9^{2}

- 36 y = - 2 \cdot 2 y \cdot 9

= (2 y)^{2} - 2 \cdot 2 y \cdot 9 + 9^{2}

Apply Perfect Square Formula:

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

(2 y)^{2} - 2 \cdot 2 y \cdot 9 + 9^{2} = (2 y - 9)^{2}

= (2 y - 9)^{2}

- 2 x^{2} + 7 x + 3 = 0

2 x^{2} - x + 8 = 0

- \frac{6}{7} - 1

80000 \cdot \frac{1}{( 1 + 0.06 ) ^{30}}

- 16 t^{2} - 8 t + 64