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

Mathematics

ScanSolve AI Answer

Answer

3y5−8y3+4y2−4y+53y^5 - 8y^3 + 4y^2 - 4y + 5

Step-by-step solution

4 steps

  1. Write the expression.

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

    (3y5−7y3+2y2−y+4)−(y3−2y2+3y−1)(3y^5 - 7y^3 + 2y^2 - y + 4) - (y^3 - 2y^2 + 3y - 1)

  2. Distribute the negative sign to each term in the second polynomial.

    3y5−7y3+2y2−y+4−y3+2y2−3y+13y^5 - 7y^3 + 2y^2 - y + 4 - y^3 + 2y^2 - 3y + 1

  3. Group like terms together.

    3y5+(−7y3−y3)+(2y2+2y2)+(−y−3y)+(4+1)3y^5 + (-7y^3 - y^3) + (2y^2 + 2y^2) + (-y - 3y) + (4 + 1)

  4. Combine the like terms.

    3y5+(−7−1)y3+(2+2)y2+(−1−3)y+(4+1)3y^5 + (-7-1)y^3 + (2+2)y^2 + (-1-3)y + (4+1) 3y5−8y3+4y2−4y+53y^5 - 8y^3 + 4y^2 - 4y + 5
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