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Question
Divide the given polynomial by the given monomial.
8(x3y2z2 + x2y3z2 + x2y2z3) ÷ 4x2y2z2
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Solution
8(x3y2z2 + x2y3z2 + x2y2z3) = 8x2y2z2(x + y + z)
= 8(x3y2z2 + x2y3z2 + x2y2z3) ÷ 4x2y2z2
= ` (8 (x^3 y^2z^2 + x^2 y^3 z^2 + x^2 y^2 z^3))/(4x^2y^2z^2)`
= `(8x^2y^2z^2 (x + y + z))/(4x^2y^2z^2)`
= 2 (x + y + z)
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