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Intermediate Algebra

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I am having trouble with these two. Can you please help me??

Find the following product:
-4x^2y (-4x^3y^5)


Essy, Show all work. Find the following quotient:

16x^2-25y^2
___________
4x + 5y

  • Intermediate Algebra -

    (-4)(-4)(x^2)(x^3)(y)(y^5)
    16 x^5 y^6

    recall that a^2-b^2 = (a-b)(a+b)

    16x^2 - 25y^2 = (4x)^2 - (5y)^2 = (4x+5y)(4x-5y)

    divide that by (4x+5y) and it cancels out, leaving the final answer:

    4x-5y

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