(2p^3+p^2-5p-2)by(2p+3)
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Step-by-step explanation:
you take the sum of products of each term in the first bracket with each term in the second. so with this example its would be:
=(2p3⋅3p)+(2p3⋅1)+(5p2⋅3p)+(5p2⋅1)+(−4⋅3p)+(−4⋅1)
This simplifies to:
=6p4+2p3+15p3+5p2−12p−4
=6p4+17p3+5p2−12p−4
Note: When multiplying variables with the same base you add their exponents
p3=p⋅p⋅p therefore p3⋅p=p⋅p⋅p⋅p=p4
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