# Intermediate Algebra

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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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