Question

factorize

(x^2 - 3x) (x^2 - 3x + 7) + 10

pls dont watch answer fastt​

Answer 1

(x² - 3x)(x² - 3x + 7) + 10

Let x² - 3x be x

x(x + 7) + 10

x² + 7x + 10

x² + 2x + 5x + 10

x(x + 2) + 5(x + 2)

(x + 2)(x+5)  

(x² - 3x +2)(x² - 3x + 5)   (Expanding x back to 3x - 5)

(x² -1x - 2x + 2)(x² - 3x + 5)

{x(x - 1) + 2(x - 1)}

(x - 1)(x + 2)(x² - 3x + 5)