The product of the 2p + q and –3q – 6p + 1 is [tex]\rm -12p^2-12pq+2p-3q^2+q[/tex].
Given
The given terms are;
2p + q and –3q – 6p + 1
How to calculate the product of given terms?
To find a product, you'll need to multiply at least two numbers together following all the steps given below.
The product of the terms is;
[tex]\rm = (2p+q) \times (-3q-6p+1)\\\\= 2p\times (-3q-6p+1) + q\times (-3q-6p+1)\\\\= 2p\times (-3q) +2p\times (-6p)+2p\times (1) + q\times (-3q) + q\times(-6p) +q\times (1)\\\\=-6pq-12p^2+2p-3q^2-6pq+q\\\\= -12p^2-12pq+2p-3q^2+q[/tex]
Hence, the product of the 2p + q and –3q – 6p + 1 is [tex]\rm -12p^2-12pq+2p-3q^2+q[/tex].
To know more about Product click the link given below.
https://brainly.com/question/4281741
