what is the simpiler form of the expression
(3h + 2) (2h^2 - 7h +1)
Not sure it's any simpler, but if you multiply it out, you get
6h^3 - 17h^2 - 11h + 2
To simplify the expression (3h + 2)(2h^2 - 7h + 1), you need to distribute the first term (3h + 2) to each term inside the second set of parentheses (2h^2 - 7h + 1).
First, distribute 3h to each term:
3h * 2h^2 = 6h^3
3h * -7h = -21h^2
3h * 1 = 3h
Next, distribute 2 to each term:
2 * 2h^2 = 4h^2
2 * -7h = -14h
2 * 1 = 2
Now you can combine like terms:
6h^3 - 21h^2 + 3h + 4h^2 - 14h + 2
Combine the terms with the same exponent (h^3, h^2, h):
6h^3 - 21h^2 + 4h^2 + 3h - 14h + 2
Simplify further:
6h^3 - 17h^2 - 11h + 2
Therefore, the simplified form of the expression (3h + 2)(2h^2 - 7h + 1) is 6h^3 - 17h^2 - 11h + 2.
To simplify the expression (3h + 2) (2h^2 - 7h + 1), we need to multiply the terms inside the parentheses. This can be done using the distributive property of multiplication.
Here are the steps to simplify the expression:
1. Multiply each term from the first parentheses with each term from the second parentheses.
(3h * 2h^2) + (3h * -7h) + (3h * 1) + (2 * 2h^2) + (2 * -7h) + (2 * 1)
2. Simplify each term:
6h^3 - 21h^2 + 3h + 4h^2 - 14h + 2
3. Combine like terms:
6h^3 - 17h^2 - 11h + 2
Therefore, the simplified form of the expression (3h + 2) (2h^2 - 7h + 1) is 6h^3 - 17h^2 - 11h + 2.