Question

If ab = 8 and a^2+b^2=16, then what is the value of (a+b)2?

Answer 1

32

Step-by-step explanation

(A+b)²

A+b+ab+ba+b

A+2b+8+ba

Answer 2

32

Explanation:

`(a+b)^2=(a+b)(a+b)`

`(a+b)^2=a^2+ab+ba+b^2` By distributive property (F.O.I.L.)

`(a+b)^2=a^2+2ab+b^2` Combined like terms

`(a+b)^2=a^2+b^2+2ab` Commutative property of addition

`(a+b)^2=16+2(8)` Substituted values given

`(a+b)^2=16+16`

`(a+b)^2=32`