sheri72374 sheri72374
  • 01-04-2020
  • Mathematics
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Which of the following is a equivalent form of the equation

Which of the following is a equivalent form of the equation class=

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opudodennis
opudodennis opudodennis
  • 07-04-2020

Answer:

[tex]c.\ \ \ \ y=(x-a)(x+b)[/tex]

Step-by-step explanation:

-The equation [tex]y=x^2-ax+bx-ab[/tex] can be simplified by grouping like terms together:

[tex]y=x^2-ax+bx-ab\\\\\#Group \ terms \ with \ x \ and \ a\\\\\\=x^2+bx-ax-ab[/tex]

#we then introduce brackets:

[tex]x^2+bx-ax-ab\\\\x(x+b)-a(x+b)\\\\\\(x-a)(x+b)[/tex]

we equate to y:

[tex]y=(x-a)(x+b)[/tex]

Hence, the equitation's equivalent form is  [tex]y=(x-a)(x+b)[/tex]

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