To multiply these expressions, we first factor each of the quadratic expressions:
2x^2 + 13x + 15 = (2x + 3)(x + 5)
4x^2 - 9 = (2x + 3)(2x - 3)
2x^2 + 3x - 9 = (2x - 3)(x + 3)
x^2 + 2x - 15 = (x + 5)(x - 3)
Now, we can cancel out common factors in the numerator and denominator:
(2x + 3)(x + 5)/(2x + 3)(2x - 3) * (2x - 3)(x + 3)/(x + 5)(x - 3)
After canceling out common factors, we are left with:
(x + 3)/(x - 3)
There are no restrictions on the variable x.
Multiply. State any restrictions on the variable. Show your work.
2x^2+13x+15/4x^2-9 * 2x^2+3x-9/x^2+2x-15
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