Math, asked by govindsing2girase, 8 months ago

(a + 2b)³- (a -2b)³​

Answers

Answered by shubhshubham14
1

Answer:

12a^{2}b + 16b^{3}

Step-by-step explanation:

we know that a^{3} - b^{3} = (a-b)(a^{2}  +ab + b^{2}  )

put a as a+2b

and b as a-2b

the eqn becomes

(a+2b - a+2b)((a+2b)^{2}  + (a+2b)(a-2b) + (a-2b)^{2})

4b((a^{2} + 4b^{2} + 4ab) + (a^{2}- 4b^{2})  + (a^{2} + 4b^{2} - 4ab))

4b( 3a^{2} + 4b^{2})

12a^{2}b + 16b^{3}

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