darrellshives85 darrellshives85
  • 20-11-2020
  • Mathematics
contestada

Complete the expression so that it forms a perfect square binomial- 3x^2+18x

Respuesta :

s1m1
s1m1 s1m1
  • 20-11-2020

Answer:

-3x²+18x-27

Step-by-step explanation:

Given :

-3X²+18x

perfect square : (a+b)²=a² + 2ab + b²

[tex]\frac{-3x^{2} }{-3} +\frac{18x}{-3} ... something else[/tex] divide by -3 to have just a² type

x² -6x ...and something

compare with the perfect squere formula and we know a² is x² , a is x, so second term is 2xb and is -6x so b= -3

x²-6x+9 = (x-3)²

if you reverse and multiply by (-3) we have

-3x²+18x-27

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