Question

Please solve this question asap my test is in 4 hours . Factorise using the identity (a^2-b^2)= (a+b) (a-b)​

Answer 1

Answer:

We know the identity a

2

−b

2

=(a+b)(a−b)

Using the above identity, the given expressiona

2

−b

2

−a+b can be factorised as follows:

a

2

−b

2

−a+b=[(a+b)(a−b)]−1(a−b)=(a−b)(a+b−1)

Hence, a

2

−b

2

−a+b=(a−b)(a+b−1)

Answer 2

(3x-4y)⁴- x⁴

{(3x-4y)²}² - {(x)²}²

{(3x-4y)²+x²} {(3x-4y)² - x²}

{9x²+16y²-24xy+x²} {9x²+16y²-24xy-x²}

(10x²16y²-24xy) (8x²+16y²-24xy)