Question

(X sqare -6x+9) by (x sqare-9)

Answer 1

Answer:(x-3)/(x+3)

X squared minus 6x plus 9 is a quadratic equation which will have factors like (x-3)^2 and below identity is to be used a squared minus b squared gives a plus b times a minus b.(x+3)(x-3).

Solving this will give you the answer.

Answer 2

$\red {\bold {\underline{ \underline {\star \: {given}}}}}$

Case 1.

$\: \: \: \: \: \: \: \: \: \: \: \: {x}^{2} - 6x + 9. \\ \\ \implies {x}^{2} - 3x - 3x + 9. \\ \\ \implies x(x - 3) - 3(x - 3). \\ \\ \implies (x - 3)( x - 3) \\ \\ \implies x = 3 \: \: \: \: and \: \: \: \: \: \: 3.$

Case 2.

$\: \: \: \: \: \: \: \: \: \: \: \: {x}^{2} - 9. \\ \\ \implies {x}^{2} = 9. \\ \\ \implies x = \sqrt{9} . \\ \\ \implies x = 3 \: \: \: \: and \: \: \: \: \: 3.$

A/Q.

Both no By_____________

$\implies \large \frac{ \cancel3}{ \cancel3} . \\ \\ \implies \large 1.$

${\red{\bold{ \underline{ \underline{ \star \: {answer}}}}}}$

$\huge \implies1.$