Expand and simplify
(x + 7) (x + 8)
Using the distributive property, we can expand the expression:
(x + 7) (x + 8) = x(x) + x(8) + 7(x) + 7(8)
Simplifying each term by multiplying:
= x^2 + 8x + 7x + 56
Combining like terms:
= x^2 + 15x + 56
Therefore, (x + 7) (x + 8) = x^2 + 15x + 56.
To expand the expression (x + 7) (x + 8), we can use the distributive property.
We multiply each term in the first parentheses (x + 7) by each term in the second parentheses (x + 8):
(x + 7) * (x + 8) = x * (x + 8) + 7 * (x + 8)
Now, simplify each term separately:
x * (x + 8) = x^2 + 8x
7 * (x + 8) = 7x + 56
Finally, we combine the simplified terms:
(x + 7) * (x + 8) = x^2 + 8x + 7x + 56
Combining like terms:
x^2 + 15x + 56
So, the expanded and simplified expression is x^2 + 15x + 56.