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Popular >

expand (4t^3+1)^3

Solution

expand

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

Solution

64 t^{9} + 48 t^{6} + 12 t^{3} + 1

Solution steps

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

Apply Perfect Cube Formula:

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

(4 t^{3} + 1)^{3} = (4 t^{3})^{3} + 3 (4 t^{3})^{2} \cdot 1 + 3 \cdot 4 t^{3} \cdot 1^{2} + 1^{3}

= (4 t^{3})^{3} + 3 (4 t^{3})^{2} \cdot 1 + 3 \cdot 4 t^{3} \cdot 1^{2} + 1^{3}

Simplify

(4 t^{3})^{3} + 3 (4 t^{3})^{2} \cdot 1 + 3 \cdot 4 t^{3} \cdot 1^{2} + 1^{3} : 64 t^{9} + 48 t^{6} + 12 t^{3} + 1

= 64 t^{9} + 48 t^{6} + 12 t^{3} + 1

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Frequently Asked Questions (FAQ)

What is expand (4t^3+1)^3 ?
The solution to expand (4t^3+1)^3 is 64t^9+48t^6+12t^3+1