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If the quantity 4 times x times y cubed plus 8 times x squared times y to the fifth power all over 2 times x times y squared is completely simplified to 2xayb + 4xcyd, where a, b, c, and d represent integer exponents, what is the value of a? _______

2 Answers

5 votes

a = 1, b 2, c = 1, d = 4

User Fernando Fabreti
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2 votes

(4xy^3 + 8x^2y^5 )/(2xy^2)


= (4xy^3(1+2xy^2))/(2xy)


= 2y^2(1 + 2xy^2)


= 2y^2 + 4xy^4

Answer: a = 1, b 2, c = 1, d = 4
User Barend
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5.5k points