Find the like terms in the expression
1.) y + 1.2y + 1.2z
2.) simplify 2 + 17x - 5x + 9
3.) simplify 3(5 =6) - 4
4.) Factor 81 – 27p
like terms have the same variables ...
1.) To find the like terms in the expression "y + 1.2y + 1.2z", we need to identify terms with the same variable raised to the same power. In this case, we have "y" and "1.2y", which are like terms because they both have the variable "y" raised to the power of 1. The other term, "1.2z", is not a like term because it has a different variable, "z." Therefore, the like terms in the expression are "y" and "1.2y".
2.) To simplify the expression "2 + 17x - 5x + 9", we combine the like terms. In this case, the like terms are the ones that have the same variable, "x." So, combining "17x" and "- 5x" gives us "12x." The other terms, "2" and "9," are constants and cannot be simplified further. Therefore, the simplified expression becomes "12x + 11".
3.) The expression "3(5 = 6) - 4" appears to contain an equation within parentheses, which is not valid. If you meant to write "3 * (5 + 6) - 4", we can proceed with the simplification. First, evaluate the expression inside the parentheses: "5 + 6" equals 11. Then, multiply 3 by 11, which gives us 33. Finally, subtract 4 from 33, resulting in the simplified expression of 29.
4.) To factor the expression "81 – 27p," we can look for a common factor between both terms. In this case, both "81" and "27p" are divisible by 9. By dividing both terms by 9, we get "9(9) – 3p," which can be further simplified to "9 * 9 – 3p." Finally, we obtain the factored expression as "9(9 – p)."