- Sum of distance of point from 2 points(-ac,0)and(ac,0)is 2a.prove X2/a2+y2/b2=1 where b2=a2-a2c2?

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I need help with 2 unusual factoring problems. Problem 1: 4x^4+32x^3+47x^2-8x-12
Problem 2: x^6 - x^4 - x^2 + 1? What capacitance will resonate with an inductor with inductance 396 pH to give a radar wave of wavelength 2.5 cm? A nail put into tree at height of 2m from ground.This tree grows at rate of 0.5m a year. How high above ground will nail be after 20 years.? Write and balance the equation for the complete combustion of ethane, C2H6. You do not need to include any phase symbols or energy changes.? What is the form of the Difference of Squares identity?