Question

Which two equations are equivalent

Answer 1

Option B is correct.

Explanation:

`\sf\\Option\ A:\\\textsf{y = }(x+4)^2=x^2+4x+16\\y=x^2+16\\\textsf{These two equations of y are not equivalent.}`

`\sf\\\textsf{Option B:}\\y=(x-3)^2=x^2-2.x.3+3^2=x^2-6x+9\\y=x^2-6x+9\\\textsf{These two equations of y are equivalent.}`

`\sf\\Option\ C:\\y=(x+2)^2=x^2+4x+4\\y=x^2+2x+2\\\textsf{These two equations are not equivalent.}`

`\sf\\\textsf{Option D:}\\y=(x-6)^2=x^2-2.x.6+6^2=x^2-12x+36\\y=x^2-12x-36\\\textsf{These two are not equivalent equations.}`