Question

Use the chart to multiply the binomial by the trinomial.

Answer 1

Answer: " -2y³ + 3y² + 27y " .
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Refer to the completed chart below (image attached).
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Using the completed chart below (image attached), we can write out the terms:
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y³ − 3y³ + 9y² + 3y² − 9y² + 27y ;

Then, we can combine the "like terms" ;
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y³ − 3y³ = -2y³ ;

+9y² + 3y² − 9y² = + 3y² ;
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to get: -2y³ + 3y² ; and bring down the "+27y" ;
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Answer: " -2y³ + 3y² + 27y " . Refer to chart below (image attached).
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Answer 2

The result of the multipy the binomial by the trinomial is y^3+27.

Explanation:

To complete the empty spaces of the chart we multipy the term of the row with the term of the column.Then we sum each monomial of the chart:

y^3-3y^2+9y+3y^2-9y^2+27 = y^3+0y^2+0y+27 = y^3+27