Question

If 2a+ b=6, ab= -8 then write the value of 1/2(8a^3+b^3)

Answer 1

Answer:

3(4a+b)²

Step-by-step explanation:

½(8a³+b³)

=> ½[(2a)³+(b)³]

=> ½[(2a+b){(2a)²-2ab+b²}]

=>½(2a+b)(4a²-2ab+b²)

=>½×6×4a²-2×(-8)+b²

=>3×4a²+16+b²

=>3(4a+b)²