Final answer:
To simplify the expression (1 + 7b)(5), we can use the distributive property of multiplication over addition. By distributing the multiplication to each term, we get 35b + 5 as the simplified expression.
Step-by-step explanation:
Simplify the expression:(1 + 7b)(5)
To simplify this expression, we can use the distributive property of multiplication over addition. This property states that when multiplying a number or expression by a sum, we can distribute the multiplication to each term inside the parentheses. Applying this property to the given expression, we get:
(1 + 7b) * 5 = 1 * 5 + 7b * 5 = 5 + 35b = 35b + 5
Therefore, the simplified expression is
35b + 5.
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