Answer:
To expand and simplify the expression (x+4)(x+7), we can use the distributive property of multiplication over addition.
Expanding the expression, we multiply each term in the first parentheses by each term in the second parentheses:
(x+4)(x+7) = x(x) + x(7) + 4(x) + 4(7)
Now, let's simplify each term:
x(x) = x^2
x(7) = 7x
4(x) = 4x
4(7) = 28
Putting it all together, we have:
(x+4)(x+7) = x^2 + 7x + 4x + 28
Combining like terms, we simplify further:
x^2 + 11x + 28
So, the expression (x+4)(x+7) expands and simplifies to x^2 + 11x + 28.
Explanation: