perform the product in simplified form please show the work.
(2x+1)(3x-2)
Have you learned about FOIL?
If not, read this:
http://www.freemathhelp.com/using-foil.html
You can use the method here.
To simplify the given expression (2x+1)(3x-2), you need to apply the distributive property, which states that multiplying a sum by a factor is the same as multiplying each term in the sum by the factor and then adding the products.
Here are the steps to simplify the expression:
Step 1: Use the distributive property to multiply the first term (2x) by each term in the second expression (3x-2):
(2x)(3x) + (2x)(-2)
Step 2: Simplify each product:
6x^2 - 4x
So, the simplified form of (2x+1)(3x-2) is 6x^2 - 4x.
Alternatively, you can also use the FOIL method to multiply the expressions:
F: Multiply the first terms in each expression: (2x)(3x) = 6x^2
O: Multiply the outer terms in each expression: (2x)(-2) = -4x
I: Multiply the inner terms in each expression: (1)(3x) = 3x
L: Multiply the last terms in each expression: (1)(-2) = -2
Combine the like terms:
6x^2 + (-4x) + 3x + (-2)
Simplifying further, we get:
6x^2 - x - 2
So, the simplified form of (2x+1)(3x-2) is also 6x^2 - x - 2.