81p^2-198pq को पूर्ण वर्ग बनाने के लिए क्या जोड़ना पड़ेगा
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7
Assume x is the no. which should be added to factorise it completely
Given
= 81p²-198pq
It can be written as
= (9p)²-2(9p)
Using identity (a-b)²= a²+b²-2ab
where a= 9p
and b is xq
i.e = (9p)²+(xq)²-2(9p)(xq)
Therefore ,
2(9p)(xq)= 198pq
18xpq= 198pq
x= 198/18
Thus x= 11
= (9p)²+(xq)²-2(9p)(xq)
= (9p)²+(11q)²-2(9p)(11q)
= (9p+11q)²
The number which should be added is (11q)² that is 121q²
✌^_^
Given
= 81p²-198pq
It can be written as
= (9p)²-2(9p)
Using identity (a-b)²= a²+b²-2ab
where a= 9p
and b is xq
i.e = (9p)²+(xq)²-2(9p)(xq)
Therefore ,
2(9p)(xq)= 198pq
18xpq= 198pq
x= 198/18
Thus x= 11
= (9p)²+(xq)²-2(9p)(xq)
= (9p)²+(11q)²-2(9p)(11q)
= (9p+11q)²
The number which should be added is (11q)² that is 121q²
✌^_^
Answered by
0
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