(2p+9)(3p+1)
What is your question?
assuming you want to expand the product, you get
6p^2 + 29p + 9
Play around some at calc101.com -- click on the long multiplication button.
multiplying polynomials is just like multiplying numbers, where the power of the variable is like the 1s,10s,100s,... columns in numbers. Those columns represent powers of 10, rather than some unknown variable.
To expand the given expression (2p+9)(3p+1), we need to multiply each term of the first expression (2p+9) by each term of the second expression (3p+1). Here's how to do it:
Step 1: Multiply the first term of the first expression by each term of the second expression.
(2p) * (3p+1) = 6p^2 + 2p
Step 2: Multiply the second term of the first expression by each term of the second expression.
(9) * (3p+1) = 27p + 9
Step 3: Combine the results from the previous two steps.
(6p^2 + 2p) + (27p + 9) = 6p^2 + 2p + 27p + 9
Step 4: Simplify the expression by combining like terms.
6p^2 + 29p + 9
Therefore, the expanded form of (2p+9)(3p+1) is 6p^2 + 29p + 9.