Find the value of 64x³ – 125z³, if 4x – 5z = 16 and xz=12.

If x⁴+=194, find x³ +, x² +and x+

Find the value of 27x³ + 8y³, if

(i) 3x + 2y = 14 and xy=8

(ii) 3x + 2y = 20 and xy=

If x-= 3+2 , find the value of x³ -.

Find the following products:

(i) (3x+2y)(9x²-6xy+4y²)

(ii) (4x-5y)(16x²+20xy+25y²)

(iii) (7p⁴+q)(49p⁸-7p⁴q+q²)

(iv)

(v)

(vi)

(vii)

(viii)

(ix) (1+x)(1+x+x²)

(x) (1+x)(1-x+x²)

(xi) (x²-1)(x⁴+x²+1)

(xii) (x³+1)(x⁶-x³+1)