Question

Factorise:
4x2–12xy+9y2–25​

Answer 1

Answer:

Question:-

Factorise:

▪︎4x²–12xy+9y²–25

Solution:-

(4x²-12xy+9y²) - (5)²

= ((2x)² - (2×2x×3y) + (3y)²) - (5)²

= (2x-3y)² - (5)²

= (2x-3y-5) (2x-3y+5)

Formula to be remembered:

▪︎(a-b)² = a²-2ab+b²

▪︎(a+b)² = a²+2ab+b²

▪︎a²-b² = (a-b)(a+b)