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Multiply (x^(2)-36)/(x+6)*(x^(2)-49)/(x+7). Completely simplify your answer and state any variable restrictions.

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User Bryan W
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1 Answer

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To multiply the expression, we simplify and combine like terms. The final expression is x^4-85x^2+1764. The variable restrictions are x = -6 and x = -7.

To multiply the given expression, we can cancel out common factors and simplify the remaining terms. The expression can be written as (x-6)(x+6)(x-7)(x+7). Multiplying the binomials, we get (x^2-36)(x^2-49). Expanding this further, we have x^4-36x^2-49x^2+1764. Combining like terms, the final simplified expression is x^4-85x^2+1764.

The variable restrictions for this expression occur at x = -6 and x = -7, as they would result in division by zero.

Learn more about Multiplying Polynomials

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User Jason Reiche
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