Question

x³+12x²y+48xy²+64y³
x cube + 12 x square Y + 48 x y square + 54 y cube ​

Answer 1

Answer:

x³ + 12x²y + 48xy² + 64y³ = (x + 4y)³

Step-by-step explanation:

As, (a+b)³ = a³ + b³ + 3a²b + 3ab²

Therefore,

(x + 4y)³ = x³ + 64y³ + 3x²(4y) + 3x(4y)²

= x³ + 64y³ + 12x²y + 3x(16y²)

= x³ + 64y³ + 12x²y + 48xy²

Therefore,

(x + 4y)³ = x³ + 12x²y + 48xy² + 64y³

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