Question

If a + b =1, then the value of a³ + b³ + 3ab is​

Answer 1

GIVEN...

• a+b=1

TO FIND...

• the value of a^3+b^3+3ab

SOLUTION...

Idebtity = a^3+b^3+3ab(a+b)

$= > a + b = 1 \\ ...........on \: cubing \: both \: sides \: \\ = > (a + b) ^{3} =( 1) ^{3} \\ = > a ^{3} + b ^{ 3} + 3ab \: (a + b) = 1 \\ = > a ^{3} + b ^{3} + 3ab \times 1 = 1 \\ = > a ^{3} + b ^{3} + 3ab = 1$

FINAL ANSWER...

• a^3+b^3+3ab=1