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What is the quadratic equation resulting from 4x²+4bx−(a²−b²)=0?

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Final answer:

The equation 4x²+4bx–(a²–b²)=0 is a quadratic equation in standard form, whose solutions can be found using the quadratic formula once values for a and b are known.

Step-by-step explanation:

The quadratic equation resulting from the expression 4x²+4bx–(a²–b²)=0 is already in the standard quadratic form of ax²+bx+c = 0. To find the solutions or roots of this quadratic equation, we can use the quadratic formula: -b ± √(b² - 4ac) / (2a). Here, the coefficients a, b, and c represent specific numbers once the values for a and b used in the expression are known. In this general form, without specific values for a and b, we cannot find the exact solutions, but we know they can be calculated using the provided quadratic formula once specific values are assigned.

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