(2a-3b)(4a^2+6ab+9b^2)= 8a^3 + 12a^2b - 12ab^2 - 18b^3
(3m-4)(9m^2+12m+16)= 27m^3 + 36m^2 - 36m^2 - 48m + 64= 27m^3 - 48m + 64
(2c+1)(4c^2-2c+1)= 8c^3 - 4c^2 + 2c + 4c^2 - 2c + 1= 8c^3 - 2c + 1
(a-b)(a^2 -2ab+b^2)= a^3 - 2a^2b + ab^2 - a^2b + 2ab^2 - b^3= a^3 - 3a^2b + 3ab^2 - b^3
(x+2)(x^2-2x+4)=16Expanding the left side:x^3 - 2x^2 + 4x + 2x^2 - 4x + 8 = 16Simplifying:x^3 + 8 = 16x^3 = 8x = 2
(2a-3b)(4a^2+6ab+9b^2)
= 8a^3 + 12a^2b - 12ab^2 - 18b^3
(3m-4)(9m^2+12m+16)
= 27m^3 + 36m^2 - 36m^2 - 48m + 64
= 27m^3 - 48m + 64
(2c+1)(4c^2-2c+1)
= 8c^3 - 4c^2 + 2c + 4c^2 - 2c + 1
= 8c^3 - 2c + 1
(a-b)(a^2 -2ab+b^2)
= a^3 - 2a^2b + ab^2 - a^2b + 2ab^2 - b^3
= a^3 - 3a^2b + 3ab^2 - b^3
(x+2)(x^2-2x+4)=16
Expanding the left side:
x^3 - 2x^2 + 4x + 2x^2 - 4x + 8 = 16
Simplifying:
x^3 + 8 = 16
x^3 = 8
x = 2