Question

If p-2q=4 then the value of p^3-8q^3-24pq-64

Answer 1

answer is 0............

Answer 2

The value of the expression is 0.

Step-by-step explanation:

Consider the provided equation.

It is given that $p-2q=4$

Cubing both sides.

$(p-2q)^3=(4)^3$

Use the identity: $\left(a-b\right)^3=a^3-b^3-3ab(a-b)$

$p^3-8q^3-3p(2q)(p-2q)=64$

$p^3-8q^3-6pq(p-2q)=64$

Substitute $p-2q=4$ in above equation.

$p^3-8q^3-6pq(4)=64$

$p^3-8q^3-24pq-64=0$

Hence, the required value of the expression is 0.

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