Question

I need help what’s the answer

Answer 1

Answer:

The square of a binomial pattern

Step-by-step explanation:

Given

9x² - 30x + 25

Consider the factors of the product of the coefficient of the x² term and the constant term which sun to give the coefficient of the x- term.

product = 9 × 25 = 225 and sum = - 30

The factors are - 15 and - 15

Use these factors to split the x- term

9x² - 15x - 15x + 25 ( factor the first/second and third/fourth terms )

= 3x(3x - 5) - 5(3x - 5) ← factor out (3x - 5) from each term

= (3x - 5)(3x - 5)

= (3x - 5)² ← the square of a binomial pattern