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Popular >

expand (pq-2)^3

Solution

expand

(pq - 2)^{3}

Solution

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

Solution steps

(pq - 2)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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