A rational expression. (z^2-9)/z^2*(z^2-3*z)/(z^2+22*z-15) over common denominator Step-by-Step Math Problem Solver

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(z^2-9)/z^2*(z^2-3*z)/(z^2+22*z-15)

A rational expression: the numerator of the rational expression is a product that comprises 2 factors. The 1st factor of the product is equal to a fraction: the top of the fraction is a sum that contains 2 terms. The 1st term of the sum is equal to a power. The base is z. The exponent is two. The 2nd term of the sum is equal to negative nine. The bottom of the fraction is a power. The base is z. The exponent is two. The 2nd factor of the product is equal to a sum of 2 terms. The 1st term of the sum is a power. The base is z. The exponent is two. The 2nd term of the sum is equal to a negative product consisting of 2 factors. The 1st factor of the product is equal to three. The 2nd factor of the product is z. The denominator of the rational expression is a sum that contains 3 terms. The 1st term of the sum is equal to a power. The base is z. The exponent is two. The 2nd term of the sum is a product consisting of 2 factors. The 1st factor of the product is equal to twenty two. The 2nd factor of the product is equal to z. The 3rd term of the sum is equal to negative fifteen.
z to the power of two plus negative nine over z raised to the power two times opening brace z to the power of two plus negative three multiplied by z closing brace fraction line z to the power of two plus twenty two multiplied by z plus negative fifteen.

(z-3)*(z^2-9)/((z^2+22*z-15)*z)

A rational expression: the top of the rational expression is a product that comprises 2 factors. The 1st factor of the product is equal to a sum that comprises 2 terms. The 1st term of the sum is z. The 2nd term of the sum is equal to negative three. The 2nd factor of the product is equal to a sum that consists of 2 terms. The 1st term of the sum is a power. The base is z. The exponent is two. The 2nd term of the sum is equal to negative nine. The bottom of the rational expression is a product of 2 factors. The 1st factor of the product is equal to a sum containing 3 terms. The 1st term of the sum is a power. The base is z. The exponent is two. The 2nd term of the sum is a product consisting of 2 factors. The 1st factor of the product is twenty two. The 2nd factor of the product is equal to z. The 3rd term of the sum is equal to negative fifteen. The 2nd factor of the product is z.
opening brace z plus negative three closing brace times opening brace z raised to the power of two plus negative nine closing brace fraction line left bracket z to the power two plus twenty two multiplied by z plus negative fifteen right bracket times z.