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Find an expression which represents the sum of [tex]$(10x + 10)$[/tex] and [tex]$(7x + 10)$[/tex] in simplest terms.

[tex]\square[/tex]

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Sagot :

To find an expression which represents the sum of [tex]\( (10x + 10) \)[/tex] and [tex]\( (7x + 10) \)[/tex] in simplest terms, follow these steps:

1. Identify the given expressions:
[tex]\[ 10x + 10 \quad \text{and} \quad 7x + 10 \][/tex]

2. Combine the like terms:

- Sum the coefficients of [tex]\(x\)[/tex]:
[tex]\[ 10x + 7x = 17x \][/tex]

- Sum the constant terms:
[tex]\[ 10 + 10 = 20 \][/tex]

3. Write the expression in the simplest form by combining these sums:
[tex]\[ 17x + 20 \][/tex]

Therefore, the simplest form of the given expressions, when summed, is:
[tex]\[ \boxed{17x + 20} \][/tex]