Final answer:
To perform the operation (x+4)(x+7), distribute x to each term in (x+7) and distribute 4 to each term in (x+7). Simplify the resulting expression.
Step-by-step explanation:
To perform the operation (x+4)(x+7), we can use the distributive property. Distribute the first term x to each term in the second expression (x+7) and distribute the second term 4 to each term in the second expression. This will result in:
(x+4)(x+7) = x(x+7) + 4(x+7)
Expanding further:
x(x+7) + 4(x+7) = x^2 + 7x + 4x + 28
Finally, simplify the expression:
x^2 + 11x + 28