Answer :
To simplify the expression
[tex]$$2x^3 + 7x^3,$$[/tex]
follow these steps:
1. Notice that both terms have the same variable part, [tex]$x^3$[/tex]. This means they are like terms and can be combined.
2. To combine like terms, add their coefficients. The coefficient of the first term is [tex]$2$[/tex], and the coefficient of the second term is [tex]$7$[/tex].
3. Calculate the sum of the coefficients:
[tex]$$2 + 7 = 9.$$[/tex]
4. Multiply the summed coefficient by the common variable part:
[tex]$$9x^3.$$[/tex]
Thus, the simplified expression is
[tex]$$\boxed{9x^3}.$$[/tex]
[tex]$$2x^3 + 7x^3,$$[/tex]
follow these steps:
1. Notice that both terms have the same variable part, [tex]$x^3$[/tex]. This means they are like terms and can be combined.
2. To combine like terms, add their coefficients. The coefficient of the first term is [tex]$2$[/tex], and the coefficient of the second term is [tex]$7$[/tex].
3. Calculate the sum of the coefficients:
[tex]$$2 + 7 = 9.$$[/tex]
4. Multiply the summed coefficient by the common variable part:
[tex]$$9x^3.$$[/tex]
Thus, the simplified expression is
[tex]$$\boxed{9x^3}.$$[/tex]