Let's simplify these equations step by step:
1) a(a+b)-b(a-b)= a^2 + ab - ab + b^2= a^2 + b^2
2) b(a-b)+b(b+c)= ba - b^2 + bb + bc= ba - b^2 + b^2 + bc= ba + bc
Therefore, the simplified equations are a^2 + b^2 and ba + bc.
Let's simplify these equations step by step:
1) a(a+b)-b(a-b)
= a^2 + ab - ab + b^2
= a^2 + b^2
2) b(a-b)+b(b+c)
= ba - b^2 + bb + bc
= ba - b^2 + b^2 + bc
= ba + bc
Therefore, the simplified equations are a^2 + b^2 and ba + bc.