Sagot :
Using distributive property,
(1+a+b)(1+a+b) = 1 + a + b + a + a² + ab + b + ab + b²
= 1 +2a +2b +a² +2ab +b²
Arranged in decreasing exponent: a² +b² + 2ab +2a +2b +1
(1+a+b)(1+a+b) = 1 + a + b + a + a² + ab + b + ab + b²
= 1 +2a +2b +a² +2ab +b²
Arranged in decreasing exponent: a² +b² + 2ab +2a +2b +1
1^2 + a^2 + b^2 + 2a + 2b
= 1 + a^2 + b^2 + 2a + 2b
= a^2 + b^2 + 2a + 2b + 1 ----- (final answer)
= 1 + a^2 + b^2 + 2a + 2b
= a^2 + b^2 + 2a + 2b + 1 ----- (final answer)