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Simplify (2a + B)3 − (2a − B)3 - SSC (English Medium) Class 8 - Mathematics

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Question

Simplify

(2a + b)− (2a − b)3

Solution

It is known that,

`(a + b)^3 = a^3 + b^3 + 3a^2b + 3ab^2`;
`(a-b)^3 = a^3 - b^3 - 3a^2b + 3ab^2`

(2a + b)− (2a − b)3

= `(2a)^3 + (b)^3 + 3 xx (2a)^2 xx b + 3 xx 2a xx (b)^2 - {(2a)^3 - (b)^3 - 3 xx (2a)^2 xx b + 3 xx 2a xx (b)^2}`

= `8a^3 + b^3 + 12a^2b + 6ab^2 - 8a^3 + b^3 + 12a^2b - 6ab^2`

= `2b^3 + 24a^2b`

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APPEARS IN

 Balbharati Solution for Balbharati Class 8 Mathematics (2019 to Current)
Chapter 5: Expansion formulae
Practice Set 5.3 | Q: 2.1 | Page no. 27
Solution Simplify (2a + B)3 − (2a − B)3 Concept: Expansion of (A + B + C)2.
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