Question

properties of exponents and order of operations
expand the following expression and combine like terms:
(8y(4y + 5)(y - 6))
there should be no parentheses left in your answer.
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Explanation:

Step1: Multiply \((4y + 5)(y - 6)\)

Using the distributive property \((a + b)(c + d)=ac + ad + bc + bd\), we have:
\((4y)(y)+(4y)(-6)+5(y)+5(-6)=4y^{2}-24y + 5y-30=4y^{2}-19y - 30\)

Step2: Multiply \(8y\) with the result

Multiply \(8y\) by \(4y^{2}-19y - 30\):
\(8y\times4y^{2}+8y\times(-19y)+8y\times(-30)=32y^{3}-152y^{2}-240y\)

Answer:

\(32y^{3}-152y^{2}-240y\)