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Popular >

expand (2-3x)^3

Solution

expand

(2 - 3 x)^{3}

Solution

8 - 36 x + 54 x^{2} - 27 x^{3}

Solution steps

(2 - 3 x)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

2^{3} - 3 \cdot 2^{2} \cdot 3 x + 3 \cdot 2 (3 x)^{2} - (3 x)^{3} : 8 - 36 x + 54 x^{2} - 27 x^{3}

= 8 - 36 x + 54 x^{2} - 27 x^{3}

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Frequently Asked Questions (FAQ)

What is expand (2-3x)^3 ?
The solution to expand (2-3x)^3 is 8-36x+54x^2-27x^3