Final answer:
To solve the equation, distribute 69 to both terms inside the parentheses and simplify the equation. Divide both sides by 69 to find the missing terms, which are 68. Substitute the missing terms into the equation.
Step-by-step explanation:
To solve the equation 69×52+69×18=69×(__+__), we can distribute 69 to both terms inside the parentheses:
69×52 + 69×18 = 69×(__+__)
3456 + 1242 = 69×(__+__)
Simplifying the left side of the equation:
4698 = 69×(__+__)
To find the missing terms inside the parentheses, we need to solve the equation 4698 = 69×(a+b) where a and b are the missing terms. We can divide both sides of the equation by 69:
4698 ÷ 69 = (a+b)
68 = (a+b)
Therefore, the missing terms are 68. So, the equation becomes:
69×52 + 69×18 = 69×(68+68)