Question

Factorise the expression
4(x-y)^2-12(x-y)+9

Answer 1

Answer:

4x²  − 8xy + 4y² − 12x + 12y + 9

Step-by-step explanation:

(x−y)  ²−12(x−y)+9

Use binomial theorem (a−b) ²  = a −2ab+b²  to expand (x−y)²

4(x²−2xy+y²)−12(x−y)+9

Use the distributive property to multiply 4 by x² - 2xy+y²

4x² −8xy+4y²−12(x−y)+9

Use the distributive property to multiply −12 by x−y.

4x²  − 8xy + 4y² − 12x + 12y + 9