Question

solve by using the identity :(2x+1x/2)cube​

Answer 1

Answer:

Step-by-step explanation:

(a+b)cube= a cube + b cube +3ab(a+b)

a=2x

b=x/2

(2x+x/2)cube= (2x)cube + (x/2) cube + 3* 2x* x/2(2+x/2)

8x cube + x/8 cube + 6x *x/2(2+x/2)

8x cube + x/8 cube + 3x^2(2+x/2)

8x cube + x/8 cube + 6x^2 +3xcube/2

so, basically you should remember the identities.

Answer 2

Answer:

193x³+12x²/8

Step-by-step explanation:

(2x+1x/2)³

(2x)³ + (x/2)³ + 3(2x)²(x/2) + 3(2x)(x/2)²

[ (a+b)³ = a³ + b³ + 3a²b +3ab² ]

8x³ + x³/8 + 12x³/2 + 6x²/4

64x³+x³/8 + 16x³ + 3x²/2

65x³/8 + 16x³ + 3x²/2

65x³+128x³/8 + 3x²/2

193x³/8 + 3x²/2

193x³+12x²/8