What is factor 27a^3+64b^3 ?

The solution to factor 27a^3+64b^3 is (3a+4b)(9a^2-12ab+16b^2)

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factor 27a^3+64b^3

factor

27 a^{3} + 64 b^{3}

(3 a + 4 b) (9 a^{2} - 12 ab + 16 b^{2})

Solution steps

27 a^{3} + 64 b^{3}

Apply exponent rules

= (3 a)^{3} + (4 b)^{3}

Apply Sum of Cubes Formula:

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

(3 a)^{3} + (4 b)^{3} = (3 a + 4 b) ((3 a)^{2} - 3 a \cdot 4 b + (4 b)^{2})

= (3 a + 4 b) ((3 a)^{2} - 3 a \cdot 4 b + (4 b)^{2})

Simplify

(3 a)^{2} - 3 a \cdot 4 b + (4 b)^{2} : 9 a^{2} - 12 ab + 16 b^{2}

= (3 a + 4 b) (9 a^{2} - 12 ab + 16 b^{2})

360 \div 60

(4 n^{3} + 1)^{4}

120 x

\frac{( x ^{5} + 2 x ^{3} + 3 x )}{( x ^{2} + x )}

\frac{3 ^{- 1} + 4 ^{- 1}}{5 ^{- 1}}

What is factor 27a^3+64b^3 ?
The solution to factor 27a^3+64b^3 is (3a+4b)(9a^2-12ab+16b^2)