Question

Q6. The factors of x²-6x +9 are​

Answer 1

Step-by-step explanation:

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

$= {x}^{2} - 3x - 3x + 9$

$= x(x - 3) - 3(x - 3)$

$= (x - 3)(x - 3)$

$= {(x - 3)}^{2}$

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Answer 2

Given:

• x²-6x+9

To do :

• Factories

Solution:

We have given expression is x² - 6x + 9.

We know that when we factories any expression(ax²+bx+c)by splitting the middle term, we split b (middle term) as that sum of it is equal to b and multiplication is equal to c.

Factorisation :-

x² - 6x + 9

→ x² -3x - 3x + 9

→ x ( x - 3) -3(x - 3)

→ (x-3)(x-3)

→ (x-3)²

Therefore,

$\large{\boxed{\mathfrak{\pink{Factor\:of\:x²-6x+9\: is\: (x-3)²}}}}$