Question

simplify (2a+b)3-(2a-b)3​

Answer 1

Answer:

HI FRIEND

Step-by-step explanation:

THE ANSWER IS (2a+3b)3-(2a-b)3

                            6a+9b-6a+9b

                           18 b

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Answer 2

Answer:

Let us expand the given expression:

(2a + b)3 –(2a – b)3 = [(2a)3 +{3 ×(2a)2 × b } + {3 ×(2a)×(b)2 } +(b)3 ] – [(2a)3 -{3 × (2a)2 × b } +{3 ×(2a)×(b)2} -(b)3]

By using the formula,

(a + b)3 = a3 + 3a2b + 3ab2 + b3 and (a – b)3 = a3 – 3a2b + 3ab2 – b3

= [8a3 + {3 × 4a2× b} + {3 × 2a ×b} + b3] – [8a3 – {3 × 4a2× b} + {3 × 2a × b2} – b3]

= [8a3 + 12a2b + 6ab2 + b3] – [8a3 – 12a2b + 6ab2 – b3]

= 8a3 + 12a2b + 6ab2 + b3 – 8a3 + 12a2b – 6ab2 + b3

= 24a2b + 2b3

∴ (2a + b)3 – (2a – b)3 = 24a2b + 2b3