3. Multiplying Polynomials
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Use the Distributive Property.
64y^3-48y^2z-36yz^2+27z^3
We can find the product of this expression using polynomial identities. In this case, we have the square of a binomial. We will first rewrite the square as the product and then apply the Distributive Property.
a^2=a* a
Distribute (4y-3z)
Distribute ( 16y^2-24yz+9z^2 )
Finally, let's identify and combine like terms. 64y^3 - 96y^2z + 36yz^2 + 48y^2z - 72yz^2+ 27z^3 ⇕ 64y^3 - 48y^2z - 36yz^2+ 27z^3