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Popular >

expand (4x-3)^3

Solution

expand

(4 x - 3)^{3}

Solution

64 x^{3} - 144 x^{2} + 108 x - 27

Solution steps

(4 x - 3)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

(4 x)^{3} - 3 (4 x)^{2} \cdot 3 + 3 \cdot 4 x \cdot 3^{2} - 3^{3} : 64 x^{3} - 144 x^{2} + 108 x - 27

= 64 x^{3} - 144 x^{2} + 108 x - 27

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Frequently Asked Questions (FAQ)

What is expand (4x-3)^3 ?
The solution to expand (4x-3)^3 is 64x^3-144x^2+108x-27