Question

what is a3 -b3 equal to

Answer 1

a³ – b³ = ( a – b ) ( a² + ab + b² )

Answer 2

Step-by-step explanation:

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$\boxed{ \bf{ {a}^{3} - {b}^{3} = (a - b)( {a}^{2} + {b}^{2} + ab)}}$

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${ \bold{\red{ \underline{verification \: : - }}}}$

(a³-b³) = (a-b) (a²+b²+ab)

Let,

a=3 b= 2

L.H.S= (a³-b³)

=(3³-2³)

=(27-8)

=19

R.H.S=(a-b) (a²+b²+ab)

=(3-2) (3²+2²+3×2)

= 9+4+6

= 19

L.H.S = R.H.S

Hance,

Proved,

(a³-b³) = (a-b) (a²+b²+ab)

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