syedahanaahmed syedahanaahmed
  • 21-12-2021
  • Mathematics
contestada

when we simplify (ab + 3c)^2 we get

Respuesta :

f4ke
f4ke f4ke
  • 21-12-2021

Answer:

a^2b^2+6abx+9c^2

Step-by-step explanation:

(a + b)2 = a2 + 2ab + b2

(ab+3c)^2=(ab)^2+2ab*3c+(3c)^2

Answer Link
Amphitrite1040
Amphitrite1040 Amphitrite1040
  • 21-12-2021

Hey there!

(ab + 3c)^2

= (ab + 3c)(ab + 3c)

DISTRIBUTE

= ab(ab) + ab(3c) + 3c(ab) + 3c(3c)

= a^2 b^2 + 3abc + 3abc + 9c^2

COMBINE the LIKE TERMS

= a^2 b^2 + 6abc + 9c^2

Therefore, your answer is:

a^2 b^2 + 6abc + 9c^2

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer Link

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