What is expand (4a^4-2b^3)^3 ?

The solution to expand (4a^4-2b^3)^3 is 64a^{12}-96a^8b^3+48a^4b^6-8b^9

Popular >

expand (4a^4-2b^3)^3

expand

(4 a^{4} - 2 b^{3})^{3}

64 a^{12} - 96 a^{8} b^{3} + 48 a^{4} b^{6} - 8 b^{9}

Solution steps

(4 a^{4} - 2 b^{3})^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

(4 a^{4})^{3} - 3 (4 a^{4})^{2} \cdot 2 b^{3} + 3 \cdot 4 a^{4} (2 b^{3})^{2} - (2 b^{3})^{3} : 64 a^{12} - 96 a^{8} b^{3} + 48 a^{4} b^{6} - 8 b^{9}

= 64 a^{12} - 96 a^{8} b^{3} + 48 a^{4} b^{6} - 8 b^{9}

\frac{[ ( 2 x - 4 ) 3 ]}{2}

(3 a + 5 b)^{2} - 4 c^{2}

det (a^{- 1})

3.5 b - 2.4 c - 0.6 c - 0.7 b

(\frac{( d ^{2} \cdot y )}{( d \cdot x ^{2} )}) \cdot e^{x}

What is expand (4a^4-2b^3)^3 ?
The solution to expand (4a^4-2b^3)^3 is 64a^{12}-96a^8b^3+48a^4b^6-8b^9