Assignment (3y5 - 7y3 + 2y2 - y + 4)(y3 - 2y2 + 3y - 1)

Mathematics
Assignment (3y5 - 7y3 + 2y2 - y + 4)(y3 - 2y2 + 3y - 1)

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Answer

3y58y3+4y24y+53y^5 - 8y^3 + 4y^2 - 4y + 5

Step 1: Write the expression. The problem is to subtract the second polynomial from the first. (3y57y3+2y2y+4)(y32y2+3y1)(3y^5 - 7y^3 + 2y^2 - y + 4) - (y^3 - 2y^2 + 3y - 1)

Step 2: Distribute the negative sign to each term in the second polynomial. 3y57y3+2y2y+4y3+2y23y+13y^5 - 7y^3 + 2y^2 - y + 4 - y^3 + 2y^2 - 3y + 1

Step 3: Group like terms together. 3y5+(7y3y3)+(2y2+2y2)+(y3y)+(4+1)3y^5 + (-7y^3 - y^3) + (2y^2 + 2y^2) + (-y - 3y) + (4 + 1)

Step 4: Combine the like terms. 3y5+(71)y3+(2+2)y2+(13)y+(4+1)3y^5 + (-7-1)y^3 + (2+2)y^2 + (-1-3)y + (4+1) 3y58y3+4y24y+53y^5 - 8y^3 + 4y^2 - 4y + 5

The simplified expression is: 3y58y3+4y24y+5\boxed{3y^5 - 8y^3 + 4y^2 - 4y + 5} Send me the next one 📸

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Quick Answer

Write the expression. The problem is to subtract the second polynomial from the first.

Assignment (3y5 - 7y3 + 2y2 - y + 4)(y3 - 2y2 + 3y - 1)
Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI Answer
Step 1: Write the expression. The problem is to subtract the second polynomial from the first. (3y^5 - 7y^3 + 2y^2 - y + 4) - (y^3 - 2y^2 + 3y - 1) Step 2: Distribute the negative sign to each term in the second polynomial. 3y^5 - 7y^3 + 2y^2 - y + 4 - y^3 + 2y^2 - 3y + 1 Step 3: Group like terms together. 3y^5 + (-7y^3 - y^3) + (2y^2 + 2y^2) + (-y - 3y) + (4 + 1) Step 4: Combine the like terms. 3y^5 + (-7-1)y^3 + (2+2)y^2 + (-1-3)y + (4+1) 3y^5 - 8y^3 + 4y^2 - 4y + 5 The simplified expression is: 3y^5 - 8y^3 + 4y^2 - 4y + 5 Send me the next one 📸