(6h-1)(4h^2+h+3)
(6h-1)(4h^2 +h+3)
= 4h^2(6h-1)
+ h(6h-1)
+ 3(6h-1)
= ?
Multiply them out and combine the terms with the same exponent of h, such as
-4h^2 +6h^2 = 2h^2
To simplify the expression (6h-1)(4h^2+h+3), we will use the distributive property, which states that for any real numbers a, b, and c:
(a + b) * c = a * c + b * c.
Applying this rule to the given expression, we will multiply each term in the first set of parentheses by each term in the second set of parentheses:
(6h) * (4h^2) + (6h) * (h) + (6h) * (3) + (-1) * (4h^2) + (-1) * (h) + (-1) * (3).
Now, we can simplify each multiplication:
= 24h^3 + 6h^2 + 18h - 4h^2 - h - 3.
Combining like terms, we have:
= 24h^3 + (6h^2 - 4h^2) + (18h - h) + (-3).
Simplifying further:
= 24h^3 + 2h^2 + 17h - 3.
Therefore, the simplified expression is 24h^3 + 2h^2 + 17h - 3.