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Find the quotient of (3x2y2 + 9x3y2z) ÷ 3x2y2 Please place a space between each term in your answer . Squared terms should be expressed in the form x^2 without spaces. Example: 5x^{2}+3x-2 Should be expressed as 5x^2 + 3x - 2

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ANSWER

The quotient is

[tex] 1 + 3xz[/tex]

EXPLANATION

The given expression is

[tex] \frac{3 {x}^{2} y^2+ 9 {x}^{3} {y}^{2} z}{3 {x}^{2} {y}^{2}} [/tex]

We take out the highest common factor in the numerator to obtain

[tex] = \frac{3 {x}^{2} {y}^{2} (1 + 3xz)}{3 {x}^{2} {y}^{2}}[/tex]

We cancel out the common factors to obtain,

[tex] = 1 + 3xz[/tex]

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