Question

Factorise x square - 6x + 9

Answer 1

Answer:

answer

Step-by-step explanation:

x^2-3x-3x+9

x(x-3)-3(x-3)

(x-3)(x-3)

(x-3)^2

Answer 2

${ \huge{ \bf{ \underline{question}}}}$

Factorise :

${x}^{2} - 6x + 9$

${ \huge{ \bf{ \underline{answer}}}}$

By using splitting the middle term method we will find the answer of the given Question.

Which number when added gives 6 and the same numbers when multiplied give 9 ?

Yes , the answer is 3.

3+3=6

3*3=9

Here we have splitted the middle term :

${x}^{2} (- 3x - 3x) + 9 \\ \\ this \: will \: give \: {x}^{2} - 6x + 9 \\ \\ \\ = x(x - 3) - 3(x - 3) \\ \\ \\ so \: the \: answer \: is \: (x - 3)(x - 3)$

Answer :

(x-3)(x-3)