(2p2---4p)(3p2---1).jpeg "(p3)(2p2 - 4p)(3p2 - 1)")
Simplifying the Expression (p^3)(2p^2 - 4p)(3p^2 - 1)
This article will guide you through the process of simplifying the given algebraic expression: (p^3)(2p^2 - 4p)(3p^2 - 1).
Step 1: Expand the First Two Factors
We start by multiplying the first two factors, (p^3) and (2p^2 - 4p):
(p^3)(2p^2 - 4p) = 2p^5 - 4p^4
Step 2: Multiply the Result by the Third Factor
Now, we multiply the result from step 1, (2p^5 - 4p^4), by the third factor (3p^2 - 1):
(2p^5 - 4p^4)(3p^2 - 1) = 6p^7 - 2p^5 - 12p^6 + 4p^4
Step 3: Rearrange the Terms (Optional)
We can rearrange the terms in descending order of their exponents to make the expression more organized:
6p^7 - 12p^6 - 2p^5 + 4p^4
Final Simplified Expression
Therefore, the simplified form of the given expression (p^3)(2p^2 - 4p)(3p^2 - 1) is 6p^7 - 12p^6 - 2p^5 + 4p^4.