What is factor 343m^3+64n^3 ?

The solution to factor 343m^3+64n^3 is (7m+4n)(49m^2-28mn+16n^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 343m^3+64n^3

factor

343 m^{3} + 64 n^{3}

(7 m + 4 n) (49 m^{2} - 28 mn + 16 n^{2})

Solution steps

343 m^{3} + 64 n^{3}

Apply exponent rules

= (7 m)^{3} + (4 n)^{3}

Apply Sum of Cubes Formula:

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

(7 m)^{3} + (4 n)^{3} = (7 m + 4 n) ((7 m)^{2} - 7 m \cdot 4 n + (4 n)^{2})

= (7 m + 4 n) ((7 m)^{2} - 7 m \cdot 4 n + (4 n)^{2})

Simplify

(7 m)^{2} - 7 m \cdot 4 n + (4 n)^{2} : 49 m^{2} - 28 mn + 16 n^{2}

= (7 m + 4 n) (49 m^{2} - 28 mn + 16 n^{2})

x^{2} - 8 x - 12 = 36

(- 3 a b^{2})^{3}

\frac{2 + 5 i}{5 - 2 i}

x^{3} - 8 x + 8

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

What is factor 343m^3+64n^3 ?
The solution to factor 343m^3+64n^3 is (7m+4n)(49m^2-28mn+16n^2)