What is factor (3x)^3+(4y)^3 ?

The solution to factor (3x)^3+(4y)^3 is (3x+4y)(9x^2-12xy+16y^2)

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factor (3x)^3+(4y)^3

factor

(3 x)^{3} + (4 y)^{3}

(3 x + 4 y) (9 x^{2} - 12 x y + 16 y^{2})

Solution steps

(3 x)^{3} + (4 y)^{3}

Apply Sum of Cubes Formula:

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

(3 x)^{3} + (4 y)^{3} = (3 x + 4 y) ((3 x)^{2} - 3 x 4 y + (4 y)^{2})

= (3 x + 4 y) ((3 x)^{2} - 3 x 4 y + (4 y)^{2})

Simplify

(3 x + 4 y) ((3 x)^{2} - 3 x \cdot 4 y + (4 y)^{2}) : (3 x + 4 y) (9 x^{2} - 12 x y + 16 y^{2})

= (3 x + 4 y) (9 x^{2} - 12 x y + 16 y^{2})

\frac{4 + 2 3}{3}

(c + 1) 2 - 4 (c + 1)

10 km + 5 p e r^{10}

\frac{d}{d x} ((y^{2}) (csc (x)))

α^{2} + α y + αx + x y

What is factor (3x)^3+(4y)^3 ?
The solution to factor (3x)^3+(4y)^3 is (3x+4y)(9x^2-12xy+16y^2)