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

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

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factor 125x^3+343y^3

factor

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

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

Solution steps

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

Apply exponent rules

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

Apply Sum of Cubes Formula:

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

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

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

Simplify

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

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

\frac{1}{( 4 x - 1 ) \cdot ( \frac{3}{5} )}

8 (m + n)^{3} - 1000

(\frac{( 16 x ^{a} )}{( 64 x ^{3} )})^{3}

\frac{1}{( d + 2 ) ( d + 1 ) ( e ^{e} ) ^{x}}

\frac{( ( a ^{2} \cdot b ) ^{3} )}{( ( a \cdot b ^{2} ) ^{2} )}

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