Question

Which of the following is a equivalent form of the equation

Answer 1

`c.\ \ \ \ y=(x-a)(x+b)`

Explanation:

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

`y=x^2-ax+bx-ab\\\\\#Group \ terms \ with \ x \ and \ a\\\\\\=x^2+bx-ax-ab`

#we then introduce brackets:

`x^2+bx-ax-ab\\\\x(x+b)-a(x+b)\\\\\\(x-a)(x+b)`

we equate to y:

`y=(x-a)(x+b)`

Hence, the equitation's equivalent form is
`y=(x-a)(x+b)`