Subtract the sum of (7pq - 3qr + 4rs) and (9qr + 3rs - 5pq) from the sum of (29r - 4rs + 6pq) and (11pq-3qr+5rs).
Answers
Answer:
23qr - 6rs + 15pq
Step-by-step explanation:
- Sum = ( 7pq - 3qr + 4rs ) + ( 9qr + 3rs - 5pq)
- Sum = 7pq - 3qr + 4rs + 9qr + 3rs - 5pq
- -6rsSum = 2pq + 6qr + 7rs
- Sum = (29qr - 4rs + 6pq ) + ( 11pq - 3qr + 5rs)
- Sum = 29qr - 4rs + 6pq + 11pq - 3qr + 5rs
- Sum = 26qr + rs + 17pq
- Difference = (26qr + rs + 17pq) -(2pq + 6qr + 7rs)
- Difference = 29qr + rs + 17pq - 2pq - 6qr - 7rs
- Difference = 23qr - 6rs + 15pq
Question:-
Subtract the sum of (7pq - 3qr + 4rs) and (9qr + 3rs - 5pg) from the sum of (29r - 4rs + 6pg) and
(11pq-3qr+5rs)
Answer:-
Sum of (7pq - 3qr + 4rs) and (9qr + 3rs - 5pq) :-
(7pq - 3qr + 4rs) + (9qr + 3rs 5pq)
➞ 7pq - 3qr + 4rs +9qr + 3rs 5pq
➞ 7pq - 5pq + 9gr - 3gr + 4rs + 3rs
➞ 2pq +6qr + 7rs
Sum of (29qr - 4rs + 6pg) and (11pq-3qr+5rs) :- (29gr - 4rs + 6pq) + (11pq-3qr+5rs)
➞ 29gr - 4rs + 6pq + 11pq - 3gr + 5rs
➞ 29qr - 3qr + 5rs - 4rs + 6pq + 11pq
➞ 26qr + rs + 17pq
Subtracting their sum :-
["From" number comes first. ]
[ Original signs are changed to opposite sign while removing the bracket if there is minus sign
before the bracket ]
➞ (26qr + rs + 17pq) - (2pq + 6qr + 7rs)
➞ 26qr + rs + 17pq - 2pq - 6qr 7rs
➞ 26qr - 6qr - 7rs + rs + 17pq - 2pq
➞ 20qr - 6rs + 15pq