can anyone help me :(

Question

stae that the expression x²-12+35 over x-7 and x-7 are always equivalent expression. Is he correct?

Answer 1

The rational expression

• Now factorize the numerator of the above expression.

x ² - 12x  + 35

Multiply first term x ² and last term 35 = 35x ²

The correct pair of the terms -7x and -5x multiply to 35x ² and add to -12x.

Replace the middle term -12x  with - 7x  - 5x .

=x ² - 7x  - 5x  + 35

Group the terms into two pairs.

= (x ² - 7x ) + (- 5x + 35)

Factor out x from the first group  and factor out - 5 from the second group.

= x (x - 7) - 5 (x - 7)

Factor out common term x - 7.

= (x - 5)(x - 7)

x ² - 12x  + 35 = (x  - 5)(x - 7)

Substitute the numerator value in the rational expression.

Cancel common term(x  - 7).

and x  - 7 are not equivalent.