Expand (3x - 4y)^3
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Answered by
9
Answer:
27x³-64y³-108x²y+36xy²
Step-by-step explanation:
its simple use the identity
(x-y)³ = x³-y³-3x²y+3xy²
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Answered by
11
(a - b)3 = a3 - b3 - 3ab(a - b)
Now, (3x - 4y)3 = (3x)3 - (4y)3 - 3*3x*4y(3x - 4y)
=> (3x - 4y)3 = 27x3 - 64y3 - 36xy(3x - 4y)
=> (3x - 4y)3 = 27x3 - 64y3 - 36xy * 3x + 36xy * 4y
=> (3x - 4y)3 = 27x3 - 64y3 - 108x2 y + 144xy2
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