(5x to the 2nd power minus 4x plus 29) plus (3x to the 2nd power plus 8x minus 77)
5x^2 - 4x + 29 + 3x^2 + 8x - 77
= 8x^2 + 4x - 48
To solve the expression (5x^2 - 4x + 29) + (3x^2 + 8x - 77), you need to combine like terms.
Step 1: Group the terms according to their variables. In this case, we have two groups: one for the terms with x^2 and one for the terms with x.
(5x^2 + 3x^2) + (-4x + 8x) + (29 - 77)
Step 2: Simplify the expressions within each group.
8x^2 + 4x + (29 - 77)
Step 3: Combine any like terms.
8x^2 + 4x - 48
So, the simplified form of the expression (5x^2 - 4x + 29) + (3x^2 + 8x - 77) is 8x^2 + 4x - 48.