Question

7/Expand : (3x - 2) (3x - 6)​

Answer 1

Hey there,

Pl check the attached answer

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Answer 2

The expandation of  (3x - 2) (3x - 6)​ = 9$x^2$ - 24x + 12

Step-by-step explanation:

We have,

(3x - 2) (3x - 6)​

To expand, (3x - 2) (3x - 6)​ = ?

Using the identity,

(x - a)(x - b) $=x^{2}-(a+b)x+ab$

Here, x = 3x, a = 2 and b = 6

∴ (3x - 2) (3x - 6)​

=$(3x)^2$- (2 + 6)(3x) + (2)(6)

= $9x^2$ - (8)(3x) + 12

= 9$x^2$ - 24x + 12

∴ The expandation of  (3x - 2) (3x - 6)​ = 9$x^2$ - 24x + 12

Thus, the expandation of  (3x - 2) (3x - 6)​ = 9$x^2$ - 24x + 12