According to the order of operations, which of the following operations should be completed first in the following expression?
1 answer:
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<h3>What is the product of 2x + y and 5x – y + 3?</h3>
<em>The polynomial product has the distributive property.</em>
<em>Step 1:</em><em> We have to distribute each term of the first polynomial to every term of the second polynomial.</em>
(2x + y) * (5x - y +3) = 2x(5x - y + 3) + y(5x - y + 3) =
= 10x² - 2<u>xy</u> + 6x + 5<u>xy</u> - y² + 3y =
<em>Step 2: </em><em>Combine like terms.</em>
= 10x² - y² + 3xy + 6x + 3y
Answer : 10x² - y² + 3xy + 6x + 3y
