What is factor 8x^3+343y^3 ?

The solution to factor 8x^3+343y^3 is (2x+7y)(4x^2-14xy+49y^2)

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factor 8x^3+343y^3

factor

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

(2 x + 7 y) (4 x^{2} - 14 x y + 49 y^{2})

Solution steps

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

Apply exponent rules

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

Apply Sum of Cubes Formula:

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

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

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

Simplify

(2 x)^{2} - 2 x \cdot 7 y + (7 y)^{2} : 4 x^{2} - 14 x y + 49 y^{2}

= (2 x + 7 y) (4 x^{2} - 14 x y + 49 y^{2})

(1 - 2 x)^{8}

y^{16}

\frac{1}{sin ^{2} ( x ) + tan ^{2} ( x ) + cos ^{2} ( x )} + 3 cos^{2} (x)

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

4 \frac{π}{3}

What is factor 8x^3+343y^3 ?
The solution to factor 8x^3+343y^3 is (2x+7y)(4x^2-14xy+49y^2)