Factorise 9f²-12f plus 4

(3f - 2) ²

Step-by-step explanation:

Given

9f² - 12f + 4

Consider the factors of the product of the coefficient of the f² term and the constant term which sum to give the coefficient of the f - term.

product = 9 * 4 = 36 and sum = - 12

The factors are - 6 and - 6

Use these factors to split the f - term

9f² - 6t - 6t + 4 (factor the first/second and third/fourth terms)

= 3f (3f - 2) - 2 (3f - 2) ← factor out (3f - 2) from each term

= (3f - 2) (3f - 2)

= (3f - 2) ²

9f² - 12f + 4 = (3f - 2) ²

Step-by-step explanation:

9f²-12f+4 =

= (3f) ²-2 * (3f) * (2) + 2²

= (3f-2) ²