Starting with the expression:
[tex](3x^2-10x+4)+(10x^2-5x+8)[/tex]Ignore the parenthesis, since their coefficients are equal to 1:
[tex]=3x^2-10x+4+10x^2-5x+8[/tex]Use the commutative property of addition to change the order of the terms without changing the result of the sum. Bring like terms together:
[tex]=3x^2+10x^2-10x-5x+4+8[/tex]Add like terms:
[tex]=13x^2-15x+12[/tex]Therefore:
[tex](3x^2-10x+4)+(10x^2-5x+8)=13x^2-15x+12[/tex]