# How do you write (3x^3 − 5x − 8) + (5x^3 + 7x + 3) in standard form?

Mar 1, 2016

$8 {x}^{3} + 2 x - 5$

#### Explanation:

write the expression without brackets.

$3 {x}^{3} - 5 x - 8 + 5 {x}^{3} + 7 x + 3$

collect like terms.

$8 {x}^{3} + 2 x - 5 \text{ is in standard form }$

Standard form is writing the expression , starting with the term that has the highest power of the variable,followed by terms with decreasing powers until the last term , usually a constant.

${a}_{n} {x}^{n} + {a}_{n - 1} {x}^{n - 1} + {a}_{n - 2} {x}^{n - 2} + \ldots . . + {a}_{0} {x}^{0}$