Which of the following is a equivalent form of the equation

Question

asked May 17, 2021 50.1k views

1 Answer

Fatou · Answer 1 · 2021-05-23T10:21:13+0000

Answer:

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

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)