SIMPLIFYING ALGEBRAIC EXPRESSIONS
[tex]__________________________[/tex]
To simplify the following expressions just combine the like terms. Like terms are terms with the same variable and exponent, for example 3x² + x² <- 3x² and x² are like terms since they have the same variable and exponent.
[tex]\sf 1.) \: 3a + b + a - 5b[/tex]
[tex]\sf = (3a + a) + (b- 5b)[/tex]
[tex]\sf = 4a + ( - 4b)[/tex]
[tex]\sf = \boxed{\sf 4a - 4b}[/tex]
[tex]\sf 2.) \: 9b + 3 + (- 3n) - 5[/tex]
[tex]\sf = (9b - 3n) + (3 - 5)[/tex]
[tex]\sf = (9b) + (- 3n) + (- 2)[/tex]
[tex]\sf = \boxed{\sf 9b - 3n- 2}[/tex]
[tex]\sf 3.) \: - 5y + 1 + 13y - 8[/tex]
[tex]\sf = (- 5y + 13y) + (1 - 8)[/tex]
[tex]\sf = 8y + ( - 7)[/tex]
[tex]\sf = \boxed{\sf 8y - 7}[/tex]
[tex]\sf 4.) \: {a}^{2} + 2a - 3 + {2a}^{2} - 2a + 3[/tex]
[tex]\sf = ({a}^{2} + {2a}^{2} ) + (2a - 2a) + ( - 3 + 3)[/tex]
[tex]\sf = \boxed{\sf {3a}^{2}} [/tex]
