1.

If (a-b)=2 , a^3-b^3 = 26 then (a+b)^2=?​

Answer»

ANSWER:

=

Step-by-step EXPLANATION:

given (a-b)=2

squaring on both sides

a^2+b^2-2ab=4

a^2+b^2=4+2ab--(1)

(a^3-b^3)=26

(a-b)(a^2+ab+b^2)=26

a^2+ab+b^2=26/2=13

4+3ab=13

3ab=9

ab=3--(2)

(2) substitute in (1)

so

a^2+b^2=4+6=10

but

a+b)^2=a^2+b^2+2ab=10+6=16

a+b=4


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