What is expand (2a^2+b)^3 ?

The solution to expand (2a^2+b)^3 is 8a^6+12a^4b+6a^2b^2+b^3

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expand (2a^2+b)^3

expand

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

8 a^{6} + 12 a^{4} b + 6 a^{2} b^{2} + b^{3}

Solution steps

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

Apply Perfect Cube Formula:

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

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

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

Simplify

(2 a^{2})^{3} + 3 (2 a^{2})^{2} b + 3 \cdot 2 a^{2} b^{2} + b^{3} : 8 a^{6} + 12 a^{4} b + 6 a^{2} b^{2} + b^{3}

= 8 a^{6} + 12 a^{4} b + 6 a^{2} b^{2} + b^{3}

2 \cdot lo g_{10} (x) - lo g_{10} (2) + lo g_{10} (3 x - 4)

∣ a ∣^{2}

(3 x^{3} \cdot y^{3})^{- 2}

(i + m)^{3}

e^{t} + e^{- 2} t

What is expand (2a^2+b)^3 ?
The solution to expand (2a^2+b)^3 is 8a^6+12a^4b+6a^2b^2+b^3