Question

find the value of p^3-q^3 if p-q=-7 and pq=-10

Answer 1

The answer is 133, hope my answer is correct plz mark brainliest

Answer 2

Answer:

The correct answer will be

$p^3-q^3$ = -133

Step-by-step explanation:

Given that the value of

$pq$ = -10

$p-q$ =-7

And we have to find the value of $p^3-q^3$.

Here, we can use the known algebraic equation of $(a-b)^3$ which is

$(a-b)^3 = a^3 - b^3 -3ab(a-b)$

Now, put p in place of a and q in place of b.

(Alternate - this can be also done by using $(a+b)^3$ and putting p in place of a and -q in place of b

we will get -

$(p-q)^3 = p^3 -q^3 -pq(p-q)$

Now substituting the known values of ($pq$ = -10) and (p-q = -7) from the question -

$(-7)^3 = p^3-q^3-3\times(-10)\times(-7)\\\\p^3-q^3 = -343 +210\\\\P^3-q^3=-133$

So we got the value of $p^3-q^3$ = -133.

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