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Course / Category - 8th Foundation NTSE

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Maths / Polynomials / Algebraic Identity - Difference of Cubes

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Algebraic Identity - Difference of Cubes

lgebriac Identity- Difference of Cubes:

$large dpi{100} large a^3- b^3=(a-b)(a^2+ab+b^2)$

To Prove this identity we simplify the right hand side as

$large a^3-b^3=(a-b)(a^2+ab+b^2)$

$large a^3-b^3=a ;X; (a^2+ab+b^2);-;b;X;(a^2+ab+b^2)$

$large a^3-b^3= a^3+a^2b+ab^2-a^2b-ab^2-b^3$

$large a^3-b^3== a^3-b^3$

For Example: Factorize $large (2a)^3-(3b)^3$

$large (2a)^3-(3b)^3= (2a-3b)((2a)^2+2a X 3b +(3b)^2)$

$large = (2a-3b)(4a^2- 6ab + 9b^2)$

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Algebraic Identity - Difference of Cubes

₹14400 ₹10000 +
Taxes