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Popular >

expand (-2x+3)^3

Solution

expand

(- 2 x + 3)^{3}

Solution

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

Solution steps

(- 2 x + 3)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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