What is factor 27+125b^3 ?

The solution to factor 27+125b^3 is (5b+3)(25b^2-15b+9)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 27+125b^3

factor

27 + 125 b^{3}

(5 b + 3) (25 b^{2} - 15 b + 9)

Solution steps

27 + 125 b^{3}

Write in the standard form

= 125 b^{3} + 27

Apply exponent rules

= (5 b)^{3} + 3^{3}

Apply Sum of Cubes Formula:

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

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

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

Simplify

(5 b + 3) (5^{2} b^{2} - 3 \cdot 5 b + 3^{2}) : (5 b + 3) (25 b^{2} - 15 b + 9)

= (5 b + 3) (25 b^{2} - 15 b + 9)

1 0^{1.5 (15.84649899) + 4.8}

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

\frac{\frac{1}{16}}{\frac{1}{4}}

(- ih)^{2}

10 - (7 - 5 i)

What is factor 27+125b^3 ?
The solution to factor 27+125b^3 is (5b+3)(25b^2-15b+9)