If a+b=8 and ab=6, find the value of a³+b³.

If x = 3 and y = -1, find the values of each of the following using in identity:

(i) (9y² -4x²) (81y⁴ + 36x²y² +16x⁴)

(ii)

(iii)

(iv)

(v)

If a+b=10 and ab=16, find the value of a²– ab+b² and a²+ab+b².

If a-b=6 and ab=20, find the value of a³-b³.

If x = -2 and y = 1, by using an identity find the value of the following:

(i) (4y²–9x²) (16y⁴+36x²y²+81x⁴)

(ii)

(iii)