Question

factorize112x^2-63y^2

Answer 1

✽ Question ✽

Factorise:- 112x²-63y²

✽ To find ✽

The factor of 112x²-63y².

✽ Formula to be used ✽

a²-b² = (a+b)(a-b)

✽ Solution ✽

112x²-63y²

= 7(16x²)-7(9y²)

= 7(16x²-9y²)

= 7{(4x)²-(3y)²}

So, taking the formula a²-b² = (a+b)(a-b) where a = 4x and b = 3y,

7{(4x²)-(3y)²}

= 7(4x+3y)(4x-3y)

✽ Hence ✽

112x²-63y² = 7(4x+3y)(4x-3y)

✽ Therefore ✽

112x²-63y² when factorised, gives 7(4x+3y)(4x-3y).

◎ Hope this helps you. ◎