A rectangle has a height of 5y^3 and a width of 3y^3 - 8y^2 + 2y Express the area of the rectangle The answer should be a polynomial in standard form .

The area of the rectangle is 15y^6 -40y^5 + 10y^4

Step-by-step explanation:

In this question, given the width and length of a rectangle in polynomial form, we are asked to express the area of the rectangle in terms of the polynomials.

Generally, the area of a rectangle A is mathematically equal to Length * width

Using the terms in the question, our area A = 5y^3 [3y^3 -8y^2 +2y]

Opening this bracket we have;

15y^6 -40y^5 + 10y^4

Clyde should have applied the power of a power rule and multiplied the exponents instead of adding them. The simplified form should be j to the 16th power.

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