Question

simplify (2a+3b)^3-(2a-3b)^3​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

186(4a²+36²)

Solution:

We have

(2a + 3b)³ − (2a − 3b)³

(x³ - y³)

Where 2a+3b-x and 2a-3b=y

(x − y)(x² + xy + y²)

(x − y)(x + y)² — xy

6b × (4a)² – (4a² – 96²)

Asx - y = 6b, x + y = 4a and xy=4a^2-8b^2

66 × (12a² +96²)

186(4a² + 36²)

Therefore,

(2a + 3b) ^ 2 - (2a - 3b) ^ 2 = 18b * (4a ^ 2 + 3b ^ 2)

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