Question

Resolve:

1:3a + 2a
2:-5b -7b
3:-a² -9a²
4:3a^x-²^+5a^x-²
5:18x - 11x
6:5a - 8a + a -6a + 21a​

Answer 1

`\bold{1: 3a + 2a \: = 5a}`

`\bold{2: - 5b - 7b = - 12b}`

`\bold{3: - a {}^(2) - 9 a{}^(2) = - 10a {}^(2)}`

`\bold{4: 3a {}^(x - 2) + 5a {}^(x - 2) = 8a {}^(x - 2)}`

`\bold{5: 18x - 11x = 7x}`

`\bold{6: 5a - 8a + a - 6a + 21a = 13}`

The reduction of similar terms is an operation that aims to convert two or more similar terms into a single term.

In these cases you must add or subtract either addition, subtraction or subtraction and addition, using the law of signs.

`\begin{gathered} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: {\bold{Law \: of \: signs: }} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: + * + = + \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: - * + = - \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: + * - = - \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: - * - = + \end{gathered}`