To multiply the given expressions, we need to multiply the numerators and the denominators separately and then simplify the resulting expression.
Numerator:
(2x^2 + 7x + 3) * (2x^2 + x - 1)
= 4x^4 + 2x^3 - 2x^2 + 7x^3 + 3x^2 - 3x + 3x^2 + x - 1
= 4x^4 + 9x^3 + 6x^2 - 4x - 1
Denominator:
(4x^2 - 1) * (x^2 + 2x - 3)
= (2x + 1)(2x - 1)(x + 3)(x - 1)
= (4x^2 - 1)(x^2 + 2x - 3)
= 4x^4 + 8x^3 - 12x^2 - x^2 - 2x + 3
Final answer:
(4x^4 + 9x^3 + 6x^2 - 4x - 1) / (4x^4 + 8x^3 - 12x^2 - x^2 - 2x + 3)
The restrictions of the answer are the values of x that makes the denominator equal to zero. So, we set the denominator equal to zero and solve for x:
4x^4 + 8x^3 - 12x^2 - x^2 - 2x + 3 = 0
Simplifying the equation, we have:
4x^4 + 8x^3 - 13x^2 - 2x + 3 = 0
Unfortunately, finding the exact values of x that satisfy this equation may require numerical methods or factoring techniques.
Therefore, the restrictions of the answer cannot be determined without further information or additional calculations.
Multiply. Show all restictions of the answer. Show your work.
2x^2+7x+3/4x^2-1 * 2x^2+x-1/x^2+2x-3
1 answer