What is expand (17f^2+4e^5)^3 ?

The solution to expand (17f^2+4e^5)^3 is 4913f^6+3468e^5f^4+816e^{10}f^2+64e^{15}

Popular >

expand (17f^2+4e^5)^3

expand

(17 f^{2} + 4 e^{5})^{3}

4913 f^{6} + 3468 e^{5} f^{4} + 816 e^{10} f^{2} + 64 e^{15}

Solution steps

(17 f^{2} + 4 e^{5})^{3}

Apply Perfect Cube Formula:

(a + b)^{3} = a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3}

a = 17 f^{2}, b = 4 e^{5}

= (17 f^{2})^{3} + 3 (17 f^{2})^{2} \cdot 4 e^{5} + 3 \cdot 17 f^{2} (4 e^{5})^{2} + (4 e^{5})^{3}

Simplify

(17 f^{2})^{3} + 3 (17 f^{2})^{2} \cdot 4 e^{5} + 3 \cdot 17 f^{2} (4 e^{5})^{2} + (4 e^{5})^{3} : 4913 f^{6} + 3468 e^{5} f^{4} + 816 e^{10} f^{2} + 64 e^{15}

= 4913 f^{6} + 3468 e^{5} f^{4} + 816 e^{10} f^{2} + 64 e^{15}

\frac{s + 1}{s ( s + 2 ) ( s ^{2} + 2 s + 2 )}

4 e^{2} f (5 e^{3} f - 4)

\frac{d}{d b} ((c) (a^{2} + b^{2}))

(x - 8)^{4}

\frac{6 x}{( 1 - x ) ^{3}}

What is expand (17f^2+4e^5)^3 ?
The solution to expand (17f^2+4e^5)^3 is 4913f^6+3468e^5f^4+816e^{10}f^2+64e^{15}