44. Expand and simplify the following product, using the distributive property.
(x + 2) (x +1)
recall that the distributive property says that
a(b+c) = ab + ac
Now just apply that here
To expand and simplify the product (x + 2)(x + 1) using the distributive property, you need to multiply each term in the first binomial, x + 2, by each term in the second binomial, x + 1. This results in four separate multiplications:
1. Multiply x (from the first binomial) by x (from the second binomial) to get x^2.
2. Multiply x (from the first binomial) by 1 (from the second binomial) to get x.
3. Multiply 2 (from the first binomial) by x (from the second binomial) to get 2x.
4. Multiply 2 (from the first binomial) by 1 (from the second binomial) to get 2.
After performing these multiplications, we can combine like terms and simplify the expression.
x^2 + x + 2x + 2
Combining like terms, we have:
x^2 + 3x + 2
So, the expanded and simplified form of (x + 2)(x + 1) using the distributive property is x^2 + 3x + 2.