Answer:
14.256
See details below
Explanation:
2.7 ³ - 1.6 ³ - 1.1 ³
= (2.7 ³ - 1.1 ³) - 1.6 ³ expand difference of two cubes
= (2.7 - 1.1)*(2.7^2 + 2.7*1.1 + 1.1^2) - 1.6 ³
= 1.6*(2.7^2 + 2.7*1.1 + 1.1^2) - 1.6 ³ factor out 1.6
= 1.6*(2.7^2 - 1.6^2 + 2.7*1.1 + 1.1^2) expand difference of two squares
= 1.6*( (2.7 - 1.6)*(2.7 + 1.6) + 2.7*1.1 + 1.1^2)
= 1.6*( 1.1*4.3 + 2.7*1.1 + 1.1^2) factor out 1.1
= 1.6*1.1* ( 4.3 + 2.7 + 1.1)
= 1.6*1.1*8.1 rearrange
= 1.6 * 8.1 * 1.,1
= 16 * 0.81 * 1.1
= (4*0.9)^2 * 1.1
= 3.6^2 * 1.1
= 12.96 * 1.1 36*36=1296
= 14.256
(to multiply by 1.1, mentally start from the right, add the left digit, carry if necessary)