Question

Halla “x” si :
x(a+b)2 + x + 1 - (a+b)(x+1) + a + b

es igual a :
(a + b + 1)(a2 + b2 - a - b + 1 + 2ab)

Answer 1

• X(a+b) ^2 + x+1 - (a+b) (x+1) + a+b =(a+b+1)(a^2 + b^2 - a - b + 1 + 2ab)
• X(a+b)^2 + X+1 - (a+b)X - (a+b)1 +a+b= (a+b+1)(a^2 + b^2 + 1^2 +2(ab- a1-b1) +a +b)
• X(a+b)^2 - (a+b-1)X +1 -a -b+a+b= (a+b+1)(a^2 + b^2 + 1^2 +2(ab- a1-b1) +a +b)
• $x {(a + b)}^{2} - (a + b - 1)x + 1 = (a + b + 1)( {a}^{2} + {b}^{2} + 1 + 2(ab - a1 - b1) + a + b) \\ x( {(a + b)}^{2} - (a + b - 1))+ 1 = (a + b + 1)( {(a + b - 1)}^{2} + a + b) \\ x( {(a + b)}^{2} - (a + b - 1))+ 1 =(a + b + 1) {(a + b + 1)}^{2} + (a + b + 1)(a + b)$
• X(a+b) ^2-(a+b-1)X +1= (a+b+1)(