What is factor 343x^3+y^{36} ?

The solution to factor 343x^3+y^{36} is (7x+y^{12})(49x^2-7xy^{12}+y^{24})

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 343x^3+y^{36}

factor

343 x^{3} + y^{36}

(7 x + y^{12}) (49 x^{2} - 7 x y^{12} + y^{24})

Solution steps

343 x^{3} + y^{36}

Apply exponent rules

= (7 x)^{3} + (y^{12})^{3}

Apply Sum of Cubes Formula:

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

(7 x)^{3} + (y^{12})^{3} = (7 x + y^{12}) ((7 x)^{2} - 7 x y^{12} + (y^{12})^{2})

= (7 x + y^{12}) ((7 x)^{2} - 7 x y^{12} + (y^{12})^{2})

Simplify

(7 x)^{2} - 7 x y^{12} + (y^{12})^{2} : 49 x^{2} - 7 x y^{12} + y^{24}

= (7 x + y^{12}) (49 x^{2} - 7 x y^{12} + y^{24})

(x^{25})^{- 6} (x - 3)^{48}

5 x - 10 x

\frac{1}{( 2 x + 1 )}

(i) \cdot x + 122 + 5 x + 332 + 4

(\frac{5 x - ( 2 y )}{3})^{2}

What is factor 343x^3+y^{36} ?
The solution to factor 343x^3+y^{36} is (7x+y^{12})(49x^2-7xy^{12}+y^{24})