Question

Efectuati folosind factorul comun

82+96x82+97x18
27x101-27
14x(x+y)-5x(x+y)
(a+b)x(b+c)x(c+a)-(a+b)x(b-c)x(a+c)
va roog ajutatima

Answer 1

a) 82+96*82+97*18=82(1+96)+97*18=82*97+97*18=97(82+18)=97*100=9700
b)27*101-27=27(101-1)=27*100=2700
c) 14*(x+y)-5*(x+y)=(x+y)(14-5)=(x+y)*9=9x+9y=18
 d) (a+b)*(b+c)*(c+a)-(a+b)*(b-a)*(a+c) =2
=(a+b)[(b+c)*(c+a)-(b-a)*(a+c)] =2
=(a+b)(a+c)(b+c-b+a) = 2
=(a+b)(a+c)(c+a) =2
=(a+b)(a+c)=2