What is factor 343x^3+125y^3 ?

The solution to factor 343x^3+125y^3 is (7x+5y)(49x^2-35xy+25y^2)

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factor 343x^3+125y^3

factor

343 x^{3} + 125 y^{3}

(7 x + 5 y) (49 x^{2} - 35 x y + 25 y^{2})

Solution steps

343 x^{3} + 125 y^{3}

Apply exponent rules

= (7 x)^{3} + (5 y)^{3}

Apply Sum of Cubes Formula:

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

(7 x)^{3} + (5 y)^{3} = (7 x + 5 y) ((7 x)^{2} - 7 x \cdot 5 y + (5 y)^{2})

= (7 x + 5 y) ((7 x)^{2} - 7 x \cdot 5 y + (5 y)^{2})

Simplify

(7 x)^{2} - 7 x \cdot 5 y + (5 y)^{2} : 49 x^{2} - 35 x y + 25 y^{2}

= (7 x + 5 y) (49 x^{2} - 35 x y + 25 y^{2})

32 u^{2} v - 50 v

(- a \cdot b^{5} \cdot c^{1} \cdot 1)^{6}

2 (3 x + 3)^{2}

\frac{( x ^{4} - y ^{4} )}{( x + y )}

1.6 a + 4 x - 2.8 a - 7.5 x

What is factor 343x^3+125y^3 ?
The solution to factor 343x^3+125y^3 is (7x+5y)(49x^2-35xy+25y^2)