What is expand (4-4y^2)^3 ?

The solution to expand (4-4y^2)^3 is 64-192y^2+192y^4-64y^6

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expand (4-4y^2)^3

expand

(4 - 4 y^{2})^{3}

64 - 192 y^{2} + 192 y^{4} - 64 y^{6}

Solution steps

(4 - 4 y^{2})^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

4^{3} - 3 \cdot 4^{2} \cdot 4 y^{2} + 3 \cdot 4 (4 y^{2})^{2} - (4 y^{2})^{3} : 64 - 192 y^{2} + 192 y^{4} - 64 y^{6}

= 64 - 192 y^{2} + 192 y^{4} - 64 y^{6}

\frac{( n ^{2} - 5 n - 14 )}{( n ^{2} - 9 n + 14 )}

35 y^{2} + 13 y - 12

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

[35 \cdot 3 - x^{3}] + 34

3 b^{5} \cdot 12 b^{2} + 20 b

What is expand (4-4y^2)^3 ?
The solution to expand (4-4y^2)^3 is 64-192y^2+192y^4-64y^6