Mathstar209 Mathstar209
  • 07-04-2020
  • Mathematics
contestada

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

Respuesta :

freckledspots freckledspots
  • 07-04-2020

Answer:

32

Step-by-step explanation:

[tex](a+b)^2=(a+b)(a+b)[/tex]

[tex](a+b)^2=a^2+ab+ba+b^2[/tex] By distributive property (F.O.I.L.)

[tex](a+b)^2=a^2+2ab+b^2[/tex] Combined like terms

[tex](a+b)^2=a^2+b^2+2ab[/tex] Commutative property of addition

[tex](a+b)^2=16+2(8)[/tex] Substituted values given

[tex](a+b)^2=16+16[/tex]

[tex](a+b)^2=32[/tex]

Answer Link
eviecole1981 eviecole1981
  • 07-04-2020

Answer:

32

Step-by-step explanation

(A+b)²

A+b+ab+ba+b

A+2b+8+ba

Answer Link

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