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Popular >

expand (p-2q)^3

Solution

expand

(p - 2 q)^{3}

Solution

p^{3} - 6 p^{2} q + 12 p q^{2} - 8 q^{3}

Solution steps

(p - 2 q)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

p^{3} - 3 p^{2} \cdot 2 q + 3 p (2 q)^{2} - (2 q)^{3} : p^{3} - 6 p^{2} q + 12 p q^{2} - 8 q^{3}

= p^{3} - 6 p^{2} q + 12 p q^{2} - 8 q^{3}

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Frequently Asked Questions (FAQ)

What is expand (p-2q)^3 ?
The solution to expand (p-2q)^3 is p^3-6p^2q+12pq^2-8q^3