Algebra 15m+17n=21 ,17m+15n=11
Answers
Step-by-step explanation:
(a + b) 2 = a 2 + b 2 + 2ab
(a − b) 2 = a 2 + b 2 − 2ab
a 2 − b 2 = (a − b) (a + b)
(x + a) (x + b) = x 2 + (a + b) x + ab
(a + b + c) 2 = a 2 + b 2 + c 2 + 2ab + 2bc + 2ca
(a + (−b) + (−c)) 2 = a 2 + (−b) 2 + (−c) 2 + 2a (−b) + 2 (−b) (−c) + 2a (−c)
(a – b – c) 2 = a 2 + b 2 + c 2 − 2ab + 2bc − 2ca
(a + b) 3 = a 3 + b 3 + 3ab(a + b)
(a − b) 3 = a 3 - b 3 - 3ab(a - b)
a 3 − b 3 = (a − b) (a 2 + b 2 + ab)
a 3 + b 3 = (a + b) (a 2 + b 2 − ab)
(a + b + c) 3 = a 3 + b 3 + c 3 + 3(a + b)(b + c)(c + a)
a 3 + b 3 + c 3 − 3abc = (a + b + c) (a 2 + b 2 + c 2 − ab − bc − ac)
If (a + b + c) = 0,
a 3 + b 3 + c 3 = 3abc
Answer:
15m+17n=21
17m+15n=11
(15+17)(m+n)=21+11
32(m+n)=32
m+n =32/32
m+n = 1
this is spcl case of linear equation in two variable ..
general formula is
ax+by=c1
bx+ay=c2 .. then ,
(a+b)(x+y)=c1+c2