en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor (2r)^2+12r+9

Solution

factor

(2 r)^{2} + 12 r + 9

Solution

(2 r + 3)^{2}

Solution steps

(2 r)^{2} + 12 r + 9

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

= 2^{2} r^{2} + 12 r + 9

Rewrite

2^{2} r^{2} + 12 r + 9

as

(2 r)^{2} + 2 \cdot 2 r \cdot 3 + 3^{2}

= (2 r)^{2} + 2 \cdot 2 r \cdot 3 + 3^{2}

Apply Perfect Square Formula:

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

a = 2 r, b = 3

= (2 r + 3)^{2}

Popular Examples

(cosh (2 x))^{2}

factor (2Δx)-1 factor

(2Δ x) - 1

9 x^{(2)}

factor 2.6x^2+(-6.1)x+(-2.6)factor

2.6 x^{2} + (- 6.1) x + (- 2.6)

factor (x^2)/(25)-9 factor

\frac{x ^{2}}{25} - 9

Frequently Asked Questions (FAQ)

What is factor (2r)^2+12r+9 ?
The solution to factor (2r)^2+12r+9 is (2r+3)^2