Question

simplify (4x+2y)³ + (4x-2y) ³​

Answer 1

Step-by-step explanation:

(4x+2y)³ +(4x-2y)³

64x³+8y³+24xy(4x+2y)+64x³-8y³-24xy(4x-2y)

64x³+8y³+96x²y+48xy²+64x³-8y³-96x²y+48xy²

128x³+96xy²

Answer 2

Answer:

128x³ +  96x²y

Step-by-step explanation:

(4x+2y)³ + (4x-2y) ³​

(a+b)³ = a³+b³ +ab(a+b)

(a-b)³ = a³-b³-3ab(a-b)

= (4x)³ + (2y)³ + 3(4x)(2y)(4x+2y)  (4x)³ - (2y)³ - 3(4x)(2y)(4x-2y)

= 64x³ + 8y³ + 24xy(4x+2y) + 64x³ - 8y³ - 24xy(4x+2y)

= 64x³ + 8y³ + 96x²y + 48xy²+ 64x³ - 8y³ - 96x²y + 48xy²

= 64x³+ 64x³ + 8y³  - 8y³ +  96x²y  - 96x²y+ 48xy²+ 48xy² {minus and plus cancel}

= 128x³ +  96x²y

        Hope it is helpful. Take care.