Question

To verify the algebraic identity ( a +b )3 = a3 +3ab (a + b) + b3.​

Answer 1

☯Required Proof:-

$→\;{\sf{(a+b)³}}$

$→\;{\sf{(a+b)(a+b)²}}$

$→\;{\sf{(a+b)(a²+b²+2ab)}}$

$→\;{\sf{a(a²+b²+2ab)+b(a²+b²+2ab)}}$

$→\;{\sf{a³+ab²+2a²b+ba²+b³+2ab²}}$

$→\;{\sf{a³+b³+ab²+2ab²+ba²+2a²b}}$

$→\;{\sf{a³+b³+3ab²+3a²b}}$

$→\;{\sf{a³+b³+3ab(a+b)}}$

Hence, Provided

• $\red{\bold{(a+b)³ = a³+b³+3ab(a+b)}}$

$\Large{✓}$

Hope It Helps You ✌️