Question
If p3 - q3 = (p - q){(p -q)2 + xpq}, then the value of x is?
Answer: Option C
$$\eqalign{
& \Rightarrow {p^3} - {q^3} = \left( {p - q} \right)\left\{ {{{\left( {p - q} \right)}^2} + xpq} \right\} \cr
& \Rightarrow \left( {p - q} \right)\left\{ {{p^2} + {q^2} + pq} \right\} = \left( {p - q} \right)\left\{ {{p^2} + {q^2} - 2pq + xpq} \right\} \cr
& \Rightarrow {p^2} + {q^2} + pq = {p^2} + {q^2} - 2pq + xpq \cr
& \Rightarrow 3pq = xpq \cr
& \Rightarrow x = 3 \cr} $$
Was this answer helpful ?
$$\eqalign{
& \Rightarrow {p^3} - {q^3} = \left( {p - q} \right)\left\{ {{{\left( {p - q} \right)}^2} + xpq} \right\} \cr
& \Rightarrow \left( {p - q} \right)\left\{ {{p^2} + {q^2} + pq} \right\} = \left( {p - q} \right)\left\{ {{p^2} + {q^2} - 2pq + xpq} \right\} \cr
& \Rightarrow {p^2} + {q^2} + pq = {p^2} + {q^2} - 2pq + xpq \cr
& \Rightarrow 3pq = xpq \cr
& \Rightarrow x = 3 \cr} $$
Was this answer helpful ?
More Questions on This Topic :
Question 3. If **Hidden Equation** is?
Question 5. The simplified value of **Hidden Equation** is?
Question 8. If **Hidden Equation** = ?
Question 9. If **Hidden Equation** equal to?....
Question 10. If **Hidden Equation** = ?....
Latest Videos
Latest Test Papers
Submit Solution