What is factor 16x^2+24xy+9y^2 ?

The solution to factor 16x^2+24xy+9y^2 is (4x+3y)^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 16x^2+24xy+9y^2

factor

16 x^{2} + 24 x y + 9 y^{2}

(4 x + 3 y)^{2}

Solution steps

16 x^{2} + 24 x y + 9 y^{2}

Rewrite in the form of

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

16 x^{2} = (4 x)^{2}

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

24 x y = 2 \cdot 4 x \cdot 3 y

= (4 x)^{2} + 2 \cdot 4 x \cdot 3 y + (3 y)^{2}

Apply Perfect Square Formula:

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

(4 x)^{2} + 2 \cdot 4 x \cdot 3 y + (3 y)^{2} = (4 x + 3 y)^{2}

= (4 x + 3 y)^{2}

x^{4} y^{3} \cdot (2 y^{2})^{0}

x^{2} - 3 x = (x + 3) (x - 4)

∣ x - 6 ∣ > 7

- x + 3 \geq 1 or 6 x + 4 < - 3

lo g_{b} (4)

What is factor 16x^2+24xy+9y^2 ?
The solution to factor 16x^2+24xy+9y^2 is (4x+3y)^2