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What is the simplified answer I have already answered half I just need help with the last part

What is the simplified answer I have already answered half I just need help with the-example-1
User Charleshaa
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1 Answer

25 votes
25 votes

Consider the given expression,


(-4x^3-4x^2-3x+2)(x+6)

In order to simplify the expression, the first factor is multiplied by 'x' and then '6'. Finally, all the terms will be added,


=x(-4x^3-4x^2-3x+2)+6(-4x^3-4x^2-3x+2)

The given table gives each of the above products. So we can substitute the values from there,


=-4x^4-4x^3-3x^2+2x-24x^3-24x^2-18x+12

Adding the like terms,


\begin{gathered} =-4x^4+(-4-24)x^3+(-3-24)x^2+(2-18)x+12 \\ =-4x^4-28x^3-27x^2-16x+12 \end{gathered}

Thus, the simplified form of the given expression is,


-4x^4-28x^3-27x^2-16x+12

User Cstack
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